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Finding the Third Proportional to 73,538 and 157,442

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Solution

The third proportional to 73,538 and 157,442 is: 337,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,538 : 157,442 = 157,442 : x
  2. Step 2: Convert to fraction form
    73,538/157,442 = 157,442/x
  3. Step 3: Cross multiply
    73,538x = 157,442 × 157,442
  4. Step 4: Simplify right side
    73,538x = 24,787,983,364
  5. Step 5: Solve for x
    x = 24,787,983,364/73,538
  6. Step 6: Final answer
    x = 337,077.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.