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Finding the Third Proportional to 67,633.50 and 146,931

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Solution

The third proportional to 67,633.50 and 146,931 is: 319,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,633.50 : 146,931 = 146,931 : x
  2. Step 2: Convert to fraction form
    67,633.50/146,931 = 146,931/x
  3. Step 3: Cross multiply
    67,633.50x = 146,931 × 146,931
  4. Step 4: Simplify right side
    67,633.50x = 21,588,718,761
  5. Step 5: Solve for x
    x = 21,588,718,761/67,633.50
  6. Step 6: Final answer
    x = 319,201.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.