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Finding the Third Proportional to 61,814 and 88,311

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Solution

The third proportional to 61,814 and 88,311 is: 126,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,814 : 88,311 = 88,311 : x
  2. Step 2: Convert to fraction form
    61,814/88,311 = 88,311/x
  3. Step 3: Cross multiply
    61,814x = 88,311 × 88,311
  4. Step 4: Simplify right side
    61,814x = 7,798,832,721
  5. Step 5: Solve for x
    x = 7,798,832,721/61,814
  6. Step 6: Final answer
    x = 126,166.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.