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Finding the Third Proportional to 67,865.34 and 144,743.52

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Solution

The third proportional to 67,865.34 and 144,743.52 is: 308,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,865.34 : 144,743.52 = 144,743.52 : x
  2. Step 2: Convert to fraction form
    67,865.34/144,743.52 = 144,743.52/x
  3. Step 3: Cross multiply
    67,865.34x = 144,743.52 × 144,743.52
  4. Step 4: Simplify right side
    67,865.34x = 20,950,686,446.29
  5. Step 5: Solve for x
    x = 20,950,686,446.29/67,865.34
  6. Step 6: Final answer
    x = 308,709.65

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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.