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Finding the Third Proportional to 73,734 and 157,122

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Solution

The third proportional to 73,734 and 157,122 is: 334,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,734 : 157,122 = 157,122 : x
  2. Step 2: Convert to fraction form
    73,734/157,122 = 157,122/x
  3. Step 3: Cross multiply
    73,734x = 157,122 × 157,122
  4. Step 4: Simplify right side
    73,734x = 24,687,322,884
  5. Step 5: Solve for x
    x = 24,687,322,884/73,734
  6. Step 6: Final answer
    x = 334,816.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.