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Finding the Third Proportional to 68,442 and 92,277

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Solution

The third proportional to 68,442 and 92,277 is: 124,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,442 : 92,277 = 92,277 : x
  2. Step 2: Convert to fraction form
    68,442/92,277 = 92,277/x
  3. Step 3: Cross multiply
    68,442x = 92,277 × 92,277
  4. Step 4: Simplify right side
    68,442x = 8,515,044,729
  5. Step 5: Solve for x
    x = 8,515,044,729/68,442
  6. Step 6: Final answer
    x = 124,412.56

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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.