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Finding the Third Proportional to 107,901 and 157,941

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Solution

The third proportional to 107,901 and 157,941 is: 231,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,901 : 157,941 = 157,941 : x
  2. Step 2: Convert to fraction form
    107,901/157,941 = 157,941/x
  3. Step 3: Cross multiply
    107,901x = 157,941 × 157,941
  4. Step 4: Simplify right side
    107,901x = 24,945,359,481
  5. Step 5: Solve for x
    x = 24,945,359,481/107,901
  6. Step 6: Final answer
    x = 231,187.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.