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Finding the Third Proportional to 60,334.50 and 132,565.50

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Solution

The third proportional to 60,334.50 and 132,565.50 is: 291,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,334.50 : 132,565.50 = 132,565.50 : x
  2. Step 2: Convert to fraction form
    60,334.50/132,565.50 = 132,565.50/x
  3. Step 3: Cross multiply
    60,334.50x = 132,565.50 × 132,565.50
  4. Step 4: Simplify right side
    60,334.50x = 17,573,611,790.25
  5. Step 5: Solve for x
    x = 17,573,611,790.25/60,334.50
  6. Step 6: Final answer
    x = 291,269.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.