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Finding the Third Proportional to 120,376 and 187,266

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Solution

The third proportional to 120,376 and 187,266 is: 291,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,376 : 187,266 = 187,266 : x
  2. Step 2: Convert to fraction form
    120,376/187,266 = 187,266/x
  3. Step 3: Cross multiply
    120,376x = 187,266 × 187,266
  4. Step 4: Simplify right side
    120,376x = 35,068,554,756
  5. Step 5: Solve for x
    x = 35,068,554,756/120,376
  6. Step 6: Final answer
    x = 291,325.14

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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.