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Finding the Third Proportional to 61,722 and 92,181

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Solution

The third proportional to 61,722 and 92,181 is: 137,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722 : 92,181 = 92,181 : x
  2. Step 2: Convert to fraction form
    61,722/92,181 = 92,181/x
  3. Step 3: Cross multiply
    61,722x = 92,181 × 92,181
  4. Step 4: Simplify right side
    61,722x = 8,497,336,761
  5. Step 5: Solve for x
    x = 8,497,336,761/61,722
  6. Step 6: Final answer
    x = 137,671.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.