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Finding the Third Proportional to 54,708 and 78,229.50

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Solution

The third proportional to 54,708 and 78,229.50 is: 111,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,708 : 78,229.50 = 78,229.50 : x
  2. Step 2: Convert to fraction form
    54,708/78,229.50 = 78,229.50/x
  3. Step 3: Cross multiply
    54,708x = 78,229.50 × 78,229.50
  4. Step 4: Simplify right side
    54,708x = 6,119,854,670.25
  5. Step 5: Solve for x
    x = 6,119,854,670.25/54,708
  6. Step 6: Final answer
    x = 111,863.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.