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Finding the Third Proportional to 48,720 and 73,614

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Solution

The third proportional to 48,720 and 73,614 is: 111,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,720 : 73,614 = 73,614 : x
  2. Step 2: Convert to fraction form
    48,720/73,614 = 73,614/x
  3. Step 3: Cross multiply
    48,720x = 73,614 × 73,614
  4. Step 4: Simplify right side
    48,720x = 5,419,020,996
  5. Step 5: Solve for x
    x = 5,419,020,996/48,720
  6. Step 6: Final answer
    x = 111,227.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.