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Finding the Third Proportional to 72,986 and 157,366

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Solution

The third proportional to 72,986 and 157,366 is: 339,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986 : 157,366 = 157,366 : x
  2. Step 2: Convert to fraction form
    72,986/157,366 = 157,366/x
  3. Step 3: Cross multiply
    72,986x = 157,366 × 157,366
  4. Step 4: Simplify right side
    72,986x = 24,764,057,956
  5. Step 5: Solve for x
    x = 24,764,057,956/72,986
  6. Step 6: Final answer
    x = 339,298.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.