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Finding the Third Proportional to 134,728 and 187,327

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Solution

The third proportional to 134,728 and 187,327 is: 260,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,728 : 187,327 = 187,327 : x
  2. Step 2: Convert to fraction form
    134,728/187,327 = 187,327/x
  3. Step 3: Cross multiply
    134,728x = 187,327 × 187,327
  4. Step 4: Simplify right side
    134,728x = 35,091,404,929
  5. Step 5: Solve for x
    x = 35,091,404,929/134,728
  6. Step 6: Final answer
    x = 260,461.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.