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Finding the Third Proportional to 60,691 and 91,857

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Solution

The third proportional to 60,691 and 91,857 is: 139,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,691 : 91,857 = 91,857 : x
  2. Step 2: Convert to fraction form
    60,691/91,857 = 91,857/x
  3. Step 3: Cross multiply
    60,691x = 91,857 × 91,857
  4. Step 4: Simplify right side
    60,691x = 8,437,708,449
  5. Step 5: Solve for x
    x = 8,437,708,449/60,691
  6. Step 6: Final answer
    x = 139,027.34

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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.