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Finding the Third Proportional to 61,377 and 132,420

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Solution

The third proportional to 61,377 and 132,420 is: 285,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,377 : 132,420 = 132,420 : x
  2. Step 2: Convert to fraction form
    61,377/132,420 = 132,420/x
  3. Step 3: Cross multiply
    61,377x = 132,420 × 132,420
  4. Step 4: Simplify right side
    61,377x = 17,535,056,400
  5. Step 5: Solve for x
    x = 17,535,056,400/61,377
  6. Step 6: Final answer
    x = 285,694.26

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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.