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Finding the Third Proportional to 111,139 and 172,349

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Solution

The third proportional to 111,139 and 172,349 is: 267,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,139 : 172,349 = 172,349 : x
  2. Step 2: Convert to fraction form
    111,139/172,349 = 172,349/x
  3. Step 3: Cross multiply
    111,139x = 172,349 × 172,349
  4. Step 4: Simplify right side
    111,139x = 29,704,177,801
  5. Step 5: Solve for x
    x = 29,704,177,801/111,139
  6. Step 6: Final answer
    x = 267,270.52

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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.