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Finding the Third Proportional to 101,292 and 157,248

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Solution

The third proportional to 101,292 and 157,248 is: 244,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,292 : 157,248 = 157,248 : x
  2. Step 2: Convert to fraction form
    101,292/157,248 = 157,248/x
  3. Step 3: Cross multiply
    101,292x = 157,248 × 157,248
  4. Step 4: Simplify right side
    101,292x = 24,726,933,504
  5. Step 5: Solve for x
    x = 24,726,933,504/101,292
  6. Step 6: Final answer
    x = 244,115.36

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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.