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Finding the Third Proportional to 138,952.13 and 282,825

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Solution

The third proportional to 138,952.13 and 282,825 is: 575,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,952.13 : 282,825 = 282,825 : x
  2. Step 2: Convert to fraction form
    138,952.13/282,825 = 282,825/x
  3. Step 3: Cross multiply
    138,952.13x = 282,825 × 282,825
  4. Step 4: Simplify right side
    138,952.13x = 79,989,980,625
  5. Step 5: Solve for x
    x = 79,989,980,625/138,952.13
  6. Step 6: Final answer
    x = 575,665.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.