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Finding the Third Proportional to 61,034 and 92,414

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Solution

The third proportional to 61,034 and 92,414 is: 139,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,034 : 92,414 = 92,414 : x
  2. Step 2: Convert to fraction form
    61,034/92,414 = 92,414/x
  3. Step 3: Cross multiply
    61,034x = 92,414 × 92,414
  4. Step 4: Simplify right side
    61,034x = 8,540,347,396
  5. Step 5: Solve for x
    x = 8,540,347,396/61,034
  6. Step 6: Final answer
    x = 139,927.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.