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Finding the Third Proportional to 84,313.50 and 127,023.75

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Solution

The third proportional to 84,313.50 and 127,023.75 is: 191,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,313.50 : 127,023.75 = 127,023.75 : x
  2. Step 2: Convert to fraction form
    84,313.50/127,023.75 = 127,023.75/x
  3. Step 3: Cross multiply
    84,313.50x = 127,023.75 × 127,023.75
  4. Step 4: Simplify right side
    84,313.50x = 16,135,033,064.06
  5. Step 5: Solve for x
    x = 16,135,033,064.06/84,313.50
  6. Step 6: Final answer
    x = 191,369.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.