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Finding the Third Proportional to 48,975 and 72,742

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Solution

The third proportional to 48,975 and 72,742 is: 108,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,975 : 72,742 = 72,742 : x
  2. Step 2: Convert to fraction form
    48,975/72,742 = 72,742/x
  3. Step 3: Cross multiply
    48,975x = 72,742 × 72,742
  4. Step 4: Simplify right side
    48,975x = 5,291,398,564
  5. Step 5: Solve for x
    x = 5,291,398,564/48,975
  6. Step 6: Final answer
    x = 108,042.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.