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Finding the Third Proportional to 100,741 and 157,238

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Solution

The third proportional to 100,741 and 157,238 is: 245,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,741 : 157,238 = 157,238 : x
  2. Step 2: Convert to fraction form
    100,741/157,238 = 157,238/x
  3. Step 3: Cross multiply
    100,741x = 157,238 × 157,238
  4. Step 4: Simplify right side
    100,741x = 24,723,788,644
  5. Step 5: Solve for x
    x = 24,723,788,644/100,741
  6. Step 6: Final answer
    x = 245,419.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.