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Finding the Third Proportional to 61,390.25 and 92,314

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Solution

The third proportional to 61,390.25 and 92,314 is: 138,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,390.25 : 92,314 = 92,314 : x
  2. Step 2: Convert to fraction form
    61,390.25/92,314 = 92,314/x
  3. Step 3: Cross multiply
    61,390.25x = 92,314 × 92,314
  4. Step 4: Simplify right side
    61,390.25x = 8,521,874,596
  5. Step 5: Solve for x
    x = 8,521,874,596/61,390.25
  6. Step 6: Final answer
    x = 138,814.79

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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.