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Finding the Third Proportional to 84,933 and 127,420.50

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Solution

The third proportional to 84,933 and 127,420.50 is: 191,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,933 : 127,420.50 = 127,420.50 : x
  2. Step 2: Convert to fraction form
    84,933/127,420.50 = 127,420.50/x
  3. Step 3: Cross multiply
    84,933x = 127,420.50 × 127,420.50
  4. Step 4: Simplify right side
    84,933x = 16,235,983,820.25
  5. Step 5: Solve for x
    x = 16,235,983,820.25/84,933
  6. Step 6: Final answer
    x = 191,162.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.