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Finding the Third Proportional to 61,792 and 135,614

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Solution

The third proportional to 61,792 and 135,614 is: 297,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,792 : 135,614 = 135,614 : x
  2. Step 2: Convert to fraction form
    61,792/135,614 = 135,614/x
  3. Step 3: Cross multiply
    61,792x = 135,614 × 135,614
  4. Step 4: Simplify right side
    61,792x = 18,391,156,996
  5. Step 5: Solve for x
    x = 18,391,156,996/61,792
  6. Step 6: Final answer
    x = 297,630.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.