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Finding the Third Proportional to 60,847.50 and 133,165

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Solution

The third proportional to 60,847.50 and 133,165 is: 291,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,847.50 : 133,165 = 133,165 : x
  2. Step 2: Convert to fraction form
    60,847.50/133,165 = 133,165/x
  3. Step 3: Cross multiply
    60,847.50x = 133,165 × 133,165
  4. Step 4: Simplify right side
    60,847.50x = 17,732,917,225
  5. Step 5: Solve for x
    x = 17,732,917,225/60,847.50
  6. Step 6: Final answer
    x = 291,432.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.