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Finding the Third Proportional to 45,416 and 68,186

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Solution

The third proportional to 45,416 and 68,186 is: 102,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,416 : 68,186 = 68,186 : x
  2. Step 2: Convert to fraction form
    45,416/68,186 = 68,186/x
  3. Step 3: Cross multiply
    45,416x = 68,186 × 68,186
  4. Step 4: Simplify right side
    45,416x = 4,649,330,596
  5. Step 5: Solve for x
    x = 4,649,330,596/45,416
  6. Step 6: Final answer
    x = 102,372.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.