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Finding the Third Proportional to 113,361 and 169,449

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Solution

The third proportional to 113,361 and 169,449 is: 253,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,361 : 169,449 = 169,449 : x
  2. Step 2: Convert to fraction form
    113,361/169,449 = 169,449/x
  3. Step 3: Cross multiply
    113,361x = 169,449 × 169,449
  4. Step 4: Simplify right side
    113,361x = 28,712,963,601
  5. Step 5: Solve for x
    x = 28,712,963,601/113,361
  6. Step 6: Final answer
    x = 253,287.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.