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Finding the Third Proportional to 75,468 and 157,122

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Solution

The third proportional to 75,468 and 157,122 is: 327,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468 : 157,122 = 157,122 : x
  2. Step 2: Convert to fraction form
    75,468/157,122 = 157,122/x
  3. Step 3: Cross multiply
    75,468x = 157,122 × 157,122
  4. Step 4: Simplify right side
    75,468x = 24,687,322,884
  5. Step 5: Solve for x
    x = 24,687,322,884/75,468
  6. Step 6: Final answer
    x = 327,123.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.