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Finding the Third Proportional to 68,833.13 and 141,372

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Solution

The third proportional to 68,833.13 and 141,372 is: 290,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,833.13 : 141,372 = 141,372 : x
  2. Step 2: Convert to fraction form
    68,833.13/141,372 = 141,372/x
  3. Step 3: Cross multiply
    68,833.13x = 141,372 × 141,372
  4. Step 4: Simplify right side
    68,833.13x = 19,986,042,384
  5. Step 5: Solve for x
    x = 19,986,042,384/68,833.13
  6. Step 6: Final answer
    x = 290,355.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.