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Finding the Third Proportional to 127,136.25 and 196,981.88

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Solution

The third proportional to 127,136.25 and 196,981.88 is: 305,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,136.25 : 196,981.88 = 196,981.88 : x
  2. Step 2: Convert to fraction form
    127,136.25/196,981.88 = 196,981.88/x
  3. Step 3: Cross multiply
    127,136.25x = 196,981.88 × 196,981.88
  4. Step 4: Simplify right side
    127,136.25x = 38,801,859,078.52
  5. Step 5: Solve for x
    x = 38,801,859,078.52/127,136.25
  6. Step 6: Final answer
    x = 305,199.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.