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Finding the Third Proportional to 75,432 and 157,062

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Solution

The third proportional to 75,432 and 157,062 is: 327,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432 : 157,062 = 157,062 : x
  2. Step 2: Convert to fraction form
    75,432/157,062 = 157,062/x
  3. Step 3: Cross multiply
    75,432x = 157,062 × 157,062
  4. Step 4: Simplify right side
    75,432x = 24,668,471,844
  5. Step 5: Solve for x
    x = 24,668,471,844/75,432
  6. Step 6: Final answer
    x = 327,029.27

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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.