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Finding the Third Proportional to 68,086 and 145,524

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Solution

The third proportional to 68,086 and 145,524 is: 311,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,086 : 145,524 = 145,524 : x
  2. Step 2: Convert to fraction form
    68,086/145,524 = 145,524/x
  3. Step 3: Cross multiply
    68,086x = 145,524 × 145,524
  4. Step 4: Simplify right side
    68,086x = 21,177,234,576
  5. Step 5: Solve for x
    x = 21,177,234,576/68,086
  6. Step 6: Final answer
    x = 311,036.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.