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Finding the Third Proportional to 101,252 and 157,186

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Solution

The third proportional to 101,252 and 157,186 is: 244,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,252 : 157,186 = 157,186 : x
  2. Step 2: Convert to fraction form
    101,252/157,186 = 157,186/x
  3. Step 3: Cross multiply
    101,252x = 157,186 × 157,186
  4. Step 4: Simplify right side
    101,252x = 24,707,438,596
  5. Step 5: Solve for x
    x = 24,707,438,596/101,252
  6. Step 6: Final answer
    x = 244,019.26

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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.