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Finding the Third Proportional to 67,856 and 148,846

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Solution

The third proportional to 67,856 and 148,846 is: 326,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,856 : 148,846 = 148,846 : x
  2. Step 2: Convert to fraction form
    67,856/148,846 = 148,846/x
  3. Step 3: Cross multiply
    67,856x = 148,846 × 148,846
  4. Step 4: Simplify right side
    67,856x = 22,155,131,716
  5. Step 5: Solve for x
    x = 22,155,131,716/67,856
  6. Step 6: Final answer
    x = 326,502.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.