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Finding the Third Proportional to 64,081.13 and 137,639.25

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Solution

The third proportional to 64,081.13 and 137,639.25 is: 295,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,081.13 : 137,639.25 = 137,639.25 : x
  2. Step 2: Convert to fraction form
    64,081.13/137,639.25 = 137,639.25/x
  3. Step 3: Cross multiply
    64,081.13x = 137,639.25 × 137,639.25
  4. Step 4: Simplify right side
    64,081.13x = 18,944,563,140.56
  5. Step 5: Solve for x
    x = 18,944,563,140.56/64,081.13
  6. Step 6: Final answer
    x = 295,634.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.