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Finding the Third Proportional to 52,519.38 and 115,243.25

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Solution

The third proportional to 52,519.38 and 115,243.25 is: 252,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,519.38 : 115,243.25 = 115,243.25 : x
  2. Step 2: Convert to fraction form
    52,519.38/115,243.25 = 115,243.25/x
  3. Step 3: Cross multiply
    52,519.38x = 115,243.25 × 115,243.25
  4. Step 4: Simplify right side
    52,519.38x = 13,281,006,670.56
  5. Step 5: Solve for x
    x = 13,281,006,670.56/52,519.38
  6. Step 6: Final answer
    x = 252,878.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.