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Finding the Third Proportional to 90,668 and 140,046

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Solution

The third proportional to 90,668 and 140,046 is: 216,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,668 : 140,046 = 140,046 : x
  2. Step 2: Convert to fraction form
    90,668/140,046 = 140,046/x
  3. Step 3: Cross multiply
    90,668x = 140,046 × 140,046
  4. Step 4: Simplify right side
    90,668x = 19,612,882,116
  5. Step 5: Solve for x
    x = 19,612,882,116/90,668
  6. Step 6: Final answer
    x = 216,315.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.