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Finding the Third Proportional to 127,612 and 195,880

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Solution

The third proportional to 127,612 and 195,880 is: 300,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,612 : 195,880 = 195,880 : x
  2. Step 2: Convert to fraction form
    127,612/195,880 = 195,880/x
  3. Step 3: Cross multiply
    127,612x = 195,880 × 195,880
  4. Step 4: Simplify right side
    127,612x = 38,368,974,400
  5. Step 5: Solve for x
    x = 38,368,974,400/127,612
  6. Step 6: Final answer
    x = 300,669.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.