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Finding the Third Proportional to 61,792 and 132,898

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Solution

The third proportional to 61,792 and 132,898 is: 285,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,792 : 132,898 = 132,898 : x
  2. Step 2: Convert to fraction form
    61,792/132,898 = 132,898/x
  3. Step 3: Cross multiply
    61,792x = 132,898 × 132,898
  4. Step 4: Simplify right side
    61,792x = 17,661,878,404
  5. Step 5: Solve for x
    x = 17,661,878,404/61,792
  6. Step 6: Final answer
    x = 285,827.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.