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Finding the Third Proportional to 73,036 and 157,142

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Solution

The third proportional to 73,036 and 157,142 is: 338,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,036 : 157,142 = 157,142 : x
  2. Step 2: Convert to fraction form
    73,036/157,142 = 157,142/x
  3. Step 3: Cross multiply
    73,036x = 157,142 × 157,142
  4. Step 4: Simplify right side
    73,036x = 24,693,608,164
  5. Step 5: Solve for x
    x = 24,693,608,164/73,036
  6. Step 6: Final answer
    x = 338,101.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.