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Finding the Third Proportional to 87,968 and 186,416

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Solution

The third proportional to 87,968 and 186,416 is: 395,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,968 : 186,416 = 186,416 : x
  2. Step 2: Convert to fraction form
    87,968/186,416 = 186,416/x
  3. Step 3: Cross multiply
    87,968x = 186,416 × 186,416
  4. Step 4: Simplify right side
    87,968x = 34,750,925,056
  5. Step 5: Solve for x
    x = 34,750,925,056/87,968
  6. Step 6: Final answer
    x = 395,040.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.