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Finding the Third Proportional to 60,732 and 91,947

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Solution

The third proportional to 60,732 and 91,947 is: 139,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,732 : 91,947 = 91,947 : x
  2. Step 2: Convert to fraction form
    60,732/91,947 = 91,947/x
  3. Step 3: Cross multiply
    60,732x = 91,947 × 91,947
  4. Step 4: Simplify right side
    60,732x = 8,454,250,809
  5. Step 5: Solve for x
    x = 8,454,250,809/60,732
  6. Step 6: Final answer
    x = 139,205.87

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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.