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Finding the Third Proportional to 75,008 and 162,472

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Solution

The third proportional to 75,008 and 162,472 is: 351,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008 : 162,472 = 162,472 : x
  2. Step 2: Convert to fraction form
    75,008/162,472 = 162,472/x
  3. Step 3: Cross multiply
    75,008x = 162,472 × 162,472
  4. Step 4: Simplify right side
    75,008x = 26,397,150,784
  5. Step 5: Solve for x
    x = 26,397,150,784/75,008
  6. Step 6: Final answer
    x = 351,924.47

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