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Finding the Third Proportional to 67,536.38 and 146,964.75

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Solution

The third proportional to 67,536.38 and 146,964.75 is: 319,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536.38 : 146,964.75 = 146,964.75 : x
  2. Step 2: Convert to fraction form
    67,536.38/146,964.75 = 146,964.75/x
  3. Step 3: Cross multiply
    67,536.38x = 146,964.75 × 146,964.75
  4. Step 4: Simplify right side
    67,536.38x = 21,598,637,742.56
  5. Step 5: Solve for x
    x = 21,598,637,742.56/67,536.38
  6. Step 6: Final answer
    x = 319,807.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.