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Finding the Third Proportional to 71,396.86 and 151,962.75

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Solution

The third proportional to 71,396.86 and 151,962.75 is: 323,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396.86 : 151,962.75 = 151,962.75 : x
  2. Step 2: Convert to fraction form
    71,396.86/151,962.75 = 151,962.75/x
  3. Step 3: Cross multiply
    71,396.86x = 151,962.75 × 151,962.75
  4. Step 4: Simplify right side
    71,396.86x = 23,092,677,387.56
  5. Step 5: Solve for x
    x = 23,092,677,387.56/71,396.86
  6. Step 6: Final answer
    x = 323,441.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.