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Finding the Third Proportional to 67,184 and 146,464

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Solution

The third proportional to 67,184 and 146,464 is: 319,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,184 : 146,464 = 146,464 : x
  2. Step 2: Convert to fraction form
    67,184/146,464 = 146,464/x
  3. Step 3: Cross multiply
    67,184x = 146,464 × 146,464
  4. Step 4: Simplify right side
    67,184x = 21,451,703,296
  5. Step 5: Solve for x
    x = 21,451,703,296/67,184
  6. Step 6: Final answer
    x = 319,297.80

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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.