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Finding the Third Proportional to 51,841.50 and 113,727

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Solution

The third proportional to 51,841.50 and 113,727 is: 249,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841.50 : 113,727 = 113,727 : x
  2. Step 2: Convert to fraction form
    51,841.50/113,727 = 113,727/x
  3. Step 3: Cross multiply
    51,841.50x = 113,727 × 113,727
  4. Step 4: Simplify right side
    51,841.50x = 12,933,830,529
  5. Step 5: Solve for x
    x = 12,933,830,529/51,841.50
  6. Step 6: Final answer
    x = 249,487.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.