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Finding the Third Proportional to 32,899 and 72,357

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Solution

The third proportional to 32,899 and 72,357 is: 159,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899 : 72,357 = 72,357 : x
  2. Step 2: Convert to fraction form
    32,899/72,357 = 72,357/x
  3. Step 3: Cross multiply
    32,899x = 72,357 × 72,357
  4. Step 4: Simplify right side
    32,899x = 5,235,535,449
  5. Step 5: Solve for x
    x = 5,235,535,449/32,899
  6. Step 6: Final answer
    x = 159,139.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.