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Finding the Third Proportional to 67,119 and 146,229

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Solution

The third proportional to 67,119 and 146,229 is: 318,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,119 : 146,229 = 146,229 : x
  2. Step 2: Convert to fraction form
    67,119/146,229 = 146,229/x
  3. Step 3: Cross multiply
    67,119x = 146,229 × 146,229
  4. Step 4: Simplify right side
    67,119x = 21,382,920,441
  5. Step 5: Solve for x
    x = 21,382,920,441/67,119
  6. Step 6: Final answer
    x = 318,582.23

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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.