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Finding the Third Proportional to 120,414.09 and 187,515

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Solution

The third proportional to 120,414.09 and 187,515 is: 292,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,414.09 : 187,515 = 187,515 : x
  2. Step 2: Convert to fraction form
    120,414.09/187,515 = 187,515/x
  3. Step 3: Cross multiply
    120,414.09x = 187,515 × 187,515
  4. Step 4: Simplify right side
    120,414.09x = 35,161,875,225
  5. Step 5: Solve for x
    x = 35,161,875,225/120,414.09
  6. Step 6: Final answer
    x = 292,007.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.