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Finding the Third Proportional to 52,585.88 and 114,010.88

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Solution

The third proportional to 52,585.88 and 114,010.88 is: 247,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,585.88 : 114,010.88 = 114,010.88 : x
  2. Step 2: Convert to fraction form
    52,585.88/114,010.88 = 114,010.88/x
  3. Step 3: Cross multiply
    52,585.88x = 114,010.88 × 114,010.88
  4. Step 4: Simplify right side
    52,585.88x = 12,998,479,618.27
  5. Step 5: Solve for x
    x = 12,998,479,618.27/52,585.88
  6. Step 6: Final answer
    x = 247,185.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.