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Finding the Third Proportional to 52,591 and 114,700.75

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Solution

The third proportional to 52,591 and 114,700.75 is: 250,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591 : 114,700.75 = 114,700.75 : x
  2. Step 2: Convert to fraction form
    52,591/114,700.75 = 114,700.75/x
  3. Step 3: Cross multiply
    52,591x = 114,700.75 × 114,700.75
  4. Step 4: Simplify right side
    52,591x = 13,156,262,050.56
  5. Step 5: Solve for x
    x = 13,156,262,050.56/52,591
  6. Step 6: Final answer
    x = 250,161.85

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Why These Related Problems?

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