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Finding the Third Proportional to 52,849.13 and 109,191.38

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Solution

The third proportional to 52,849.13 and 109,191.38 is: 225,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849.13 : 109,191.38 = 109,191.38 : x
  2. Step 2: Convert to fraction form
    52,849.13/109,191.38 = 109,191.38/x
  3. Step 3: Cross multiply
    52,849.13x = 109,191.38 × 109,191.38
  4. Step 4: Simplify right side
    52,849.13x = 11,922,756,374.39
  5. Step 5: Solve for x
    x = 11,922,756,374.39/52,849.13
  6. Step 6: Final answer
    x = 225,599.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.