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Finding the Third Proportional to 67,636 and 146,935

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Solution

The third proportional to 67,636 and 146,935 is: 319,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,636 : 146,935 = 146,935 : x
  2. Step 2: Convert to fraction form
    67,636/146,935 = 146,935/x
  3. Step 3: Cross multiply
    67,636x = 146,935 × 146,935
  4. Step 4: Simplify right side
    67,636x = 21,589,894,225
  5. Step 5: Solve for x
    x = 21,589,894,225/67,636
  6. Step 6: Final answer
    x = 319,207.14

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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.