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Finding the Third Proportional to 71,157.75 and 152,868

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Solution

The third proportional to 71,157.75 and 152,868 is: 328,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.75 : 152,868 = 152,868 : x
  2. Step 2: Convert to fraction form
    71,157.75/152,868 = 152,868/x
  3. Step 3: Cross multiply
    71,157.75x = 152,868 × 152,868
  4. Step 4: Simplify right side
    71,157.75x = 23,368,625,424
  5. Step 5: Solve for x
    x = 23,368,625,424/71,157.75
  6. Step 6: Final answer
    x = 328,405.91

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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.