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Finding the Third Proportional to 61,370 and 132,397

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Solution

The third proportional to 61,370 and 132,397 is: 285,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,370 : 132,397 = 132,397 : x
  2. Step 2: Convert to fraction form
    61,370/132,397 = 132,397/x
  3. Step 3: Cross multiply
    61,370x = 132,397 × 132,397
  4. Step 4: Simplify right side
    61,370x = 17,528,965,609
  5. Step 5: Solve for x
    x = 17,528,965,609/61,370
  6. Step 6: Final answer
    x = 285,627.60

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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.