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Finding the Third Proportional to 42,712.31 and 70,687.69

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Solution

The third proportional to 42,712.31 and 70,687.69 is: 116,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712.31 : 70,687.69 = 70,687.69 : x
  2. Step 2: Convert to fraction form
    42,712.31/70,687.69 = 70,687.69/x
  3. Step 3: Cross multiply
    42,712.31x = 70,687.69 × 70,687.69
  4. Step 4: Simplify right side
    42,712.31x = 4,996,749,164.10
  5. Step 5: Solve for x
    x = 4,996,749,164.10/42,712.31
  6. Step 6: Final answer
    x = 116,986.15

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.