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Finding the Third Proportional to 48,126.66 and 74,069.44

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Solution

The third proportional to 48,126.66 and 74,069.44 is: 113,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,126.66 : 74,069.44 = 74,069.44 : x
  2. Step 2: Convert to fraction form
    48,126.66/74,069.44 = 74,069.44/x
  3. Step 3: Cross multiply
    48,126.66x = 74,069.44 × 74,069.44
  4. Step 4: Simplify right side
    48,126.66x = 5,486,281,571.57
  5. Step 5: Solve for x
    x = 5,486,281,571.57/48,126.66
  6. Step 6: Final answer
    x = 113,996.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.