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Finding the Third Proportional to 113,767 and 247,599

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Solution

The third proportional to 113,767 and 247,599 is: 538,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,767 : 247,599 = 247,599 : x
  2. Step 2: Convert to fraction form
    113,767/247,599 = 247,599/x
  3. Step 3: Cross multiply
    113,767x = 247,599 × 247,599
  4. Step 4: Simplify right side
    113,767x = 61,305,264,801
  5. Step 5: Solve for x
    x = 61,305,264,801/113,767
  6. Step 6: Final answer
    x = 538,866.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.