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Finding the Third Proportional to 60,361 and 91,837

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Solution

The third proportional to 60,361 and 91,837 is: 139,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,361 : 91,837 = 91,837 : x
  2. Step 2: Convert to fraction form
    60,361/91,837 = 91,837/x
  3. Step 3: Cross multiply
    60,361x = 91,837 × 91,837
  4. Step 4: Simplify right side
    60,361x = 8,434,034,569
  5. Step 5: Solve for x
    x = 8,434,034,569/60,361
  6. Step 6: Final answer
    x = 139,726.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.