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Finding the Third Proportional to 120,342 and 187,094

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Solution

The third proportional to 120,342 and 187,094 is: 290,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,342 : 187,094 = 187,094 : x
  2. Step 2: Convert to fraction form
    120,342/187,094 = 187,094/x
  3. Step 3: Cross multiply
    120,342x = 187,094 × 187,094
  4. Step 4: Simplify right side
    120,342x = 35,004,164,836
  5. Step 5: Solve for x
    x = 35,004,164,836/120,342
  6. Step 6: Final answer
    x = 290,872.39

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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.