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Finding the Third Proportional to 68,416 and 100,256

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Solution

The third proportional to 68,416 and 100,256 is: 146,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,416 : 100,256 = 100,256 : x
  2. Step 2: Convert to fraction form
    68,416/100,256 = 100,256/x
  3. Step 3: Cross multiply
    68,416x = 100,256 × 100,256
  4. Step 4: Simplify right side
    68,416x = 10,051,265,536
  5. Step 5: Solve for x
    x = 10,051,265,536/68,416
  6. Step 6: Final answer
    x = 146,913.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.