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Finding the Third Proportional to 59,366 and 127,972

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Solution

The third proportional to 59,366 and 127,972 is: 275,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,366 : 127,972 = 127,972 : x
  2. Step 2: Convert to fraction form
    59,366/127,972 = 127,972/x
  3. Step 3: Cross multiply
    59,366x = 127,972 × 127,972
  4. Step 4: Simplify right side
    59,366x = 16,376,832,784
  5. Step 5: Solve for x
    x = 16,376,832,784/59,366
  6. Step 6: Final answer
    x = 275,862.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.