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Finding the Third Proportional to 49,227.50 and 76,373.50

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Solution

The third proportional to 49,227.50 and 76,373.50 is: 118,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,227.50 : 76,373.50 = 76,373.50 : x
  2. Step 2: Convert to fraction form
    49,227.50/76,373.50 = 76,373.50/x
  3. Step 3: Cross multiply
    49,227.50x = 76,373.50 × 76,373.50
  4. Step 4: Simplify right side
    49,227.50x = 5,832,911,502.25
  5. Step 5: Solve for x
    x = 5,832,911,502.25/49,227.50
  6. Step 6: Final answer
    x = 118,488.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.