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Finding the Third Proportional to 127,306.69 and 192,256.88

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Solution

The third proportional to 127,306.69 and 192,256.88 is: 290,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,306.69 : 192,256.88 = 192,256.88 : x
  2. Step 2: Convert to fraction form
    127,306.69/192,256.88 = 192,256.88/x
  3. Step 3: Cross multiply
    127,306.69x = 192,256.88 × 192,256.88
  4. Step 4: Simplify right side
    127,306.69x = 36,962,705,984.77
  5. Step 5: Solve for x
    x = 36,962,705,984.77/127,306.69
  6. Step 6: Final answer
    x = 290,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.