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Finding the Third Proportional to 52,086.50 and 73,750

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Solution

The third proportional to 52,086.50 and 73,750 is: 104,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086.50 : 73,750 = 73,750 : x
  2. Step 2: Convert to fraction form
    52,086.50/73,750 = 73,750/x
  3. Step 3: Cross multiply
    52,086.50x = 73,750 × 73,750
  4. Step 4: Simplify right side
    52,086.50x = 5,439,062,500
  5. Step 5: Solve for x
    x = 5,439,062,500/52,086.50
  6. Step 6: Final answer
    x = 104,423.65

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.