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Finding the Third Proportional to 61,327 and 82,831

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Solution

The third proportional to 61,327 and 82,831 is: 111,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327 : 82,831 = 82,831 : x
  2. Step 2: Convert to fraction form
    61,327/82,831 = 82,831/x
  3. Step 3: Cross multiply
    61,327x = 82,831 × 82,831
  4. Step 4: Simplify right side
    61,327x = 6,860,974,561
  5. Step 5: Solve for x
    x = 6,860,974,561/61,327
  6. Step 6: Final answer
    x = 111,875.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.