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Finding the Third Proportional to 71,841.50 and 157,059

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Solution

The third proportional to 71,841.50 and 157,059 is: 343,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,841.50 : 157,059 = 157,059 : x
  2. Step 2: Convert to fraction form
    71,841.50/157,059 = 157,059/x
  3. Step 3: Cross multiply
    71,841.50x = 157,059 × 157,059
  4. Step 4: Simplify right side
    71,841.50x = 24,667,529,481
  5. Step 5: Solve for x
    x = 24,667,529,481/71,841.50
  6. Step 6: Final answer
    x = 343,360.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.