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Finding the Third Proportional to 71,763.75 and 157,131

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Solution

The third proportional to 71,763.75 and 157,131 is: 344,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.75 : 157,131 = 157,131 : x
  2. Step 2: Convert to fraction form
    71,763.75/157,131 = 157,131/x
  3. Step 3: Cross multiply
    71,763.75x = 157,131 × 157,131
  4. Step 4: Simplify right side
    71,763.75x = 24,690,151,161
  5. Step 5: Solve for x
    x = 24,690,151,161/71,763.75
  6. Step 6: Final answer
    x = 344,047.67

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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.