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Finding the Third Proportional to 48,982 and 72,752

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Solution

The third proportional to 48,982 and 72,752 is: 108,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,982 : 72,752 = 72,752 : x
  2. Step 2: Convert to fraction form
    48,982/72,752 = 72,752/x
  3. Step 3: Cross multiply
    48,982x = 72,752 × 72,752
  4. Step 4: Simplify right side
    48,982x = 5,292,853,504
  5. Step 5: Solve for x
    x = 5,292,853,504/48,982
  6. Step 6: Final answer
    x = 108,057.11

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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.