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Finding the Third Proportional to 64,086.47 and 138,033.84

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Solution

The third proportional to 64,086.47 and 138,033.84 is: 297,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,086.47 : 138,033.84 = 138,033.84 : x
  2. Step 2: Convert to fraction form
    64,086.47/138,033.84 = 138,033.84/x
  3. Step 3: Cross multiply
    64,086.47x = 138,033.84 × 138,033.84
  4. Step 4: Simplify right side
    64,086.47x = 19,053,342,020.40
  5. Step 5: Solve for x
    x = 19,053,342,020.40/64,086.47
  6. Step 6: Final answer
    x = 297,306.79

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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.