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Finding the Third Proportional to 72,713 and 158,062

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Solution

The third proportional to 72,713 and 158,062 is: 343,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,713 : 158,062 = 158,062 : x
  2. Step 2: Convert to fraction form
    72,713/158,062 = 158,062/x
  3. Step 3: Cross multiply
    72,713x = 158,062 × 158,062
  4. Step 4: Simplify right side
    72,713x = 24,983,595,844
  5. Step 5: Solve for x
    x = 24,983,595,844/72,713
  6. Step 6: Final answer
    x = 343,591.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.