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Finding the Third Proportional to 52,287.75 and 114,826.50

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Solution

The third proportional to 52,287.75 and 114,826.50 is: 252,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287.75 : 114,826.50 = 114,826.50 : x
  2. Step 2: Convert to fraction form
    52,287.75/114,826.50 = 114,826.50/x
  3. Step 3: Cross multiply
    52,287.75x = 114,826.50 × 114,826.50
  4. Step 4: Simplify right side
    52,287.75x = 13,185,125,102.25
  5. Step 5: Solve for x
    x = 13,185,125,102.25/52,287.75
  6. Step 6: Final answer
    x = 252,164.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.