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Finding the Third Proportional to 52,169.50 and 113,651

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Solution

The third proportional to 52,169.50 and 113,651 is: 247,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,169.50 : 113,651 = 113,651 : x
  2. Step 2: Convert to fraction form
    52,169.50/113,651 = 113,651/x
  3. Step 3: Cross multiply
    52,169.50x = 113,651 × 113,651
  4. Step 4: Simplify right side
    52,169.50x = 12,916,549,801
  5. Step 5: Solve for x
    x = 12,916,549,801/52,169.50
  6. Step 6: Final answer
    x = 247,588.15

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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.