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Finding the Third Proportional to 71,902.88 and 151,242.75

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Solution

The third proportional to 71,902.88 and 151,242.75 is: 318,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.88 : 151,242.75 = 151,242.75 : x
  2. Step 2: Convert to fraction form
    71,902.88/151,242.75 = 151,242.75/x
  3. Step 3: Cross multiply
    71,902.88x = 151,242.75 × 151,242.75
  4. Step 4: Simplify right side
    71,902.88x = 22,874,369,427.56
  5. Step 5: Solve for x
    x = 22,874,369,427.56/71,902.88
  6. Step 6: Final answer
    x = 318,128.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.