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Finding the Third Proportional to 61,472 and 84,528

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Solution

The third proportional to 61,472 and 84,528 is: 116,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,472 : 84,528 = 84,528 : x
  2. Step 2: Convert to fraction form
    61,472/84,528 = 84,528/x
  3. Step 3: Cross multiply
    61,472x = 84,528 × 84,528
  4. Step 4: Simplify right side
    61,472x = 7,144,982,784
  5. Step 5: Solve for x
    x = 7,144,982,784/61,472
  6. Step 6: Final answer
    x = 116,231.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.