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Finding the Third Proportional to 111,202 and 172,122

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Solution

The third proportional to 111,202 and 172,122 is: 266,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,202 : 172,122 = 172,122 : x
  2. Step 2: Convert to fraction form
    111,202/172,122 = 172,122/x
  3. Step 3: Cross multiply
    111,202x = 172,122 × 172,122
  4. Step 4: Simplify right side
    111,202x = 29,625,982,884
  5. Step 5: Solve for x
    x = 29,625,982,884/111,202
  6. Step 6: Final answer
    x = 266,415.92

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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.