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Finding the Third Proportional to 122,605 and 187,471

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Solution

The third proportional to 122,605 and 187,471 is: 286,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,605 : 187,471 = 187,471 : x
  2. Step 2: Convert to fraction form
    122,605/187,471 = 187,471/x
  3. Step 3: Cross multiply
    122,605x = 187,471 × 187,471
  4. Step 4: Simplify right side
    122,605x = 35,145,375,841
  5. Step 5: Solve for x
    x = 35,145,375,841/122,605
  6. Step 6: Final answer
    x = 286,655.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.