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Finding the Third Proportional to 67,852.13 and 144,721.13

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Solution

The third proportional to 67,852.13 and 144,721.13 is: 308,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,852.13 : 144,721.13 = 144,721.13 : x
  2. Step 2: Convert to fraction form
    67,852.13/144,721.13 = 144,721.13/x
  3. Step 3: Cross multiply
    67,852.13x = 144,721.13 × 144,721.13
  4. Step 4: Simplify right side
    67,852.13x = 20,944,204,021.27
  5. Step 5: Solve for x
    x = 20,944,204,021.27/67,852.13
  6. Step 6: Final answer
    x = 308,674.25

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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.