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Finding the Third Proportional to 71,770.50 and 157,149

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Solution

The third proportional to 71,770.50 and 157,149 is: 344,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.50 : 157,149 = 157,149 : x
  2. Step 2: Convert to fraction form
    71,770.50/157,149 = 157,149/x
  3. Step 3: Cross multiply
    71,770.50x = 157,149 × 157,149
  4. Step 4: Simplify right side
    71,770.50x = 24,695,808,201
  5. Step 5: Solve for x
    x = 24,695,808,201/71,770.50
  6. Step 6: Final answer
    x = 344,094.14

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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.