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Finding the Third Proportional to 61,614 and 92,695

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Solution

The third proportional to 61,614 and 92,695 is: 139,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614 : 92,695 = 92,695 : x
  2. Step 2: Convert to fraction form
    61,614/92,695 = 92,695/x
  3. Step 3: Cross multiply
    61,614x = 92,695 × 92,695
  4. Step 4: Simplify right side
    61,614x = 8,592,363,025
  5. Step 5: Solve for x
    x = 8,592,363,025/61,614
  6. Step 6: Final answer
    x = 139,454.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.