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Finding the Third Proportional to 40,242 and 88,413

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Solution

The third proportional to 40,242 and 88,413 is: 194,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,242 : 88,413 = 88,413 : x
  2. Step 2: Convert to fraction form
    40,242/88,413 = 88,413/x
  3. Step 3: Cross multiply
    40,242x = 88,413 × 88,413
  4. Step 4: Simplify right side
    40,242x = 7,816,858,569
  5. Step 5: Solve for x
    x = 7,816,858,569/40,242
  6. Step 6: Final answer
    x = 194,246.27

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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.