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Finding the Third Proportional to 127,522.13 and 198,370.69

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Solution

The third proportional to 127,522.13 and 198,370.69 is: 308,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,522.13 : 198,370.69 = 198,370.69 : x
  2. Step 2: Convert to fraction form
    127,522.13/198,370.69 = 198,370.69/x
  3. Step 3: Cross multiply
    127,522.13x = 198,370.69 × 198,370.69
  4. Step 4: Simplify right side
    127,522.13x = 39,350,929,659.22
  5. Step 5: Solve for x
    x = 39,350,929,659.22/127,522.13
  6. Step 6: Final answer
    x = 308,581.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.