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Finding the Third Proportional to 61,882 and 96,519

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Solution

The third proportional to 61,882 and 96,519 is: 150,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,882 : 96,519 = 96,519 : x
  2. Step 2: Convert to fraction form
    61,882/96,519 = 96,519/x
  3. Step 3: Cross multiply
    61,882x = 96,519 × 96,519
  4. Step 4: Simplify right side
    61,882x = 9,315,917,361
  5. Step 5: Solve for x
    x = 9,315,917,361/61,882
  6. Step 6: Final answer
    x = 150,543.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.