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Finding the Third Proportional to 75,448.97 and 162,753.19

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Solution

The third proportional to 75,448.97 and 162,753.19 is: 351,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,448.97 : 162,753.19 = 162,753.19 : x
  2. Step 2: Convert to fraction form
    75,448.97/162,753.19 = 162,753.19/x
  3. Step 3: Cross multiply
    75,448.97x = 162,753.19 × 162,753.19
  4. Step 4: Simplify right side
    75,448.97x = 26,488,600,041.41
  5. Step 5: Solve for x
    x = 26,488,600,041.41/75,448.97
  6. Step 6: Final answer
    x = 351,079.68

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