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Finding the Third Proportional to 61,517 and 92,275

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Solution

The third proportional to 61,517 and 92,275 is: 138,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517 : 92,275 = 92,275 : x
  2. Step 2: Convert to fraction form
    61,517/92,275 = 92,275/x
  3. Step 3: Cross multiply
    61,517x = 92,275 × 92,275
  4. Step 4: Simplify right side
    61,517x = 8,514,675,625
  5. Step 5: Solve for x
    x = 8,514,675,625/61,517
  6. Step 6: Final answer
    x = 138,411.75

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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.