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Finding the Third Proportional to 107,049.75 and 235,282.13

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Solution

The third proportional to 107,049.75 and 235,282.13 is: 517,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049.75 : 235,282.13 = 235,282.13 : x
  2. Step 2: Convert to fraction form
    107,049.75/235,282.13 = 235,282.13/x
  3. Step 3: Cross multiply
    107,049.75x = 235,282.13 × 235,282.13
  4. Step 4: Simplify right side
    107,049.75x = 55,357,678,344.52
  5. Step 5: Solve for x
    x = 55,357,678,344.52/107,049.75
  6. Step 6: Final answer
    x = 517,121.04

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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.