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Finding the Third Proportional to 47,527.50 and 75,251.25

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Solution

The third proportional to 47,527.50 and 75,251.25 is: 119,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,527.50 : 75,251.25 = 75,251.25 : x
  2. Step 2: Convert to fraction form
    47,527.50/75,251.25 = 75,251.25/x
  3. Step 3: Cross multiply
    47,527.50x = 75,251.25 × 75,251.25
  4. Step 4: Simplify right side
    47,527.50x = 5,662,750,626.56
  5. Step 5: Solve for x
    x = 5,662,750,626.56/47,527.50
  6. Step 6: Final answer
    x = 119,146.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.