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Finding the Third Proportional to 120,344 and 187,097

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Solution

The third proportional to 120,344 and 187,097 is: 290,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,344 : 187,097 = 187,097 : x
  2. Step 2: Convert to fraction form
    120,344/187,097 = 187,097/x
  3. Step 3: Cross multiply
    120,344x = 187,097 × 187,097
  4. Step 4: Simplify right side
    120,344x = 35,005,287,409
  5. Step 5: Solve for x
    x = 35,005,287,409/120,344
  6. Step 6: Final answer
    x = 290,876.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.