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Finding the Third Proportional to 60,671 and 91,856

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Solution

The third proportional to 60,671 and 91,856 is: 139,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,671 : 91,856 = 91,856 : x
  2. Step 2: Convert to fraction form
    60,671/91,856 = 91,856/x
  3. Step 3: Cross multiply
    60,671x = 91,856 × 91,856
  4. Step 4: Simplify right side
    60,671x = 8,437,524,736
  5. Step 5: Solve for x
    x = 8,437,524,736/60,671
  6. Step 6: Final answer
    x = 139,070.14

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