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Finding the Third Proportional to 101,034 and 158,499

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Solution

The third proportional to 101,034 and 158,499 is: 248,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,034 : 158,499 = 158,499 : x
  2. Step 2: Convert to fraction form
    101,034/158,499 = 158,499/x
  3. Step 3: Cross multiply
    101,034x = 158,499 × 158,499
  4. Step 4: Simplify right side
    101,034x = 25,121,933,001
  5. Step 5: Solve for x
    x = 25,121,933,001/101,034
  6. Step 6: Final answer
    x = 248,648.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.