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Finding the Third Proportional to 71,446.50 and 159,808.50

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Solution

The third proportional to 71,446.50 and 159,808.50 is: 357,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,446.50 : 159,808.50 = 159,808.50 : x
  2. Step 2: Convert to fraction form
    71,446.50/159,808.50 = 159,808.50/x
  3. Step 3: Cross multiply
    71,446.50x = 159,808.50 × 159,808.50
  4. Step 4: Simplify right side
    71,446.50x = 25,538,756,672.25
  5. Step 5: Solve for x
    x = 25,538,756,672.25/71,446.50
  6. Step 6: Final answer
    x = 357,452.87

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.