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Finding the Third Proportional to 68,635.13 and 146,017.13

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Solution

The third proportional to 68,635.13 and 146,017.13 is: 310,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,635.13 : 146,017.13 = 146,017.13 : x
  2. Step 2: Convert to fraction form
    68,635.13/146,017.13 = 146,017.13/x
  3. Step 3: Cross multiply
    68,635.13x = 146,017.13 × 146,017.13
  4. Step 4: Simplify right side
    68,635.13x = 21,321,000,793.27
  5. Step 5: Solve for x
    x = 21,321,000,793.27/68,635.13
  6. Step 6: Final answer
    x = 310,642.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.