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Finding the Third Proportional to 52,472 and 82,317

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Solution

The third proportional to 52,472 and 82,317 is: 129,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472 : 82,317 = 82,317 : x
  2. Step 2: Convert to fraction form
    52,472/82,317 = 82,317/x
  3. Step 3: Cross multiply
    52,472x = 82,317 × 82,317
  4. Step 4: Simplify right side
    52,472x = 6,776,088,489
  5. Step 5: Solve for x
    x = 6,776,088,489/52,472
  6. Step 6: Final answer
    x = 129,137.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.