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Finding the Third Proportional to 127,732 and 190,900

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Solution

The third proportional to 127,732 and 190,900 is: 285,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,732 : 190,900 = 190,900 : x
  2. Step 2: Convert to fraction form
    127,732/190,900 = 190,900/x
  3. Step 3: Cross multiply
    127,732x = 190,900 × 190,900
  4. Step 4: Simplify right side
    127,732x = 36,442,810,000
  5. Step 5: Solve for x
    x = 36,442,810,000/127,732
  6. Step 6: Final answer
    x = 285,306.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.