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Finding the Third Proportional to 41,036 and 88,349

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Solution

The third proportional to 41,036 and 88,349 is: 190,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,036 : 88,349 = 88,349 : x
  2. Step 2: Convert to fraction form
    41,036/88,349 = 88,349/x
  3. Step 3: Cross multiply
    41,036x = 88,349 × 88,349
  4. Step 4: Simplify right side
    41,036x = 7,805,545,801
  5. Step 5: Solve for x
    x = 7,805,545,801/41,036
  6. Step 6: Final answer
    x = 190,212.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.