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Finding the Third Proportional to 84,822.75 and 127,244.25

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Solution

The third proportional to 84,822.75 and 127,244.25 is: 190,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,822.75 : 127,244.25 = 127,244.25 : x
  2. Step 2: Convert to fraction form
    84,822.75/127,244.25 = 127,244.25/x
  3. Step 3: Cross multiply
    84,822.75x = 127,244.25 × 127,244.25
  4. Step 4: Simplify right side
    84,822.75x = 16,191,099,158.06
  5. Step 5: Solve for x
    x = 16,191,099,158.06/84,822.75
  6. Step 6: Final answer
    x = 190,881.56

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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.