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Finding the Third Proportional to 52,591.50 and 114,687

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Solution

The third proportional to 52,591.50 and 114,687 is: 250,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591.50 : 114,687 = 114,687 : x
  2. Step 2: Convert to fraction form
    52,591.50/114,687 = 114,687/x
  3. Step 3: Cross multiply
    52,591.50x = 114,687 × 114,687
  4. Step 4: Simplify right side
    52,591.50x = 13,153,107,969
  5. Step 5: Solve for x
    x = 13,153,107,969/52,591.50
  6. Step 6: Final answer
    x = 250,099.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.