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Finding the Third Proportional to 79,486 and 111,416

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Solution

The third proportional to 79,486 and 111,416 is: 156,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,486 : 111,416 = 111,416 : x
  2. Step 2: Convert to fraction form
    79,486/111,416 = 111,416/x
  3. Step 3: Cross multiply
    79,486x = 111,416 × 111,416
  4. Step 4: Simplify right side
    79,486x = 12,413,525,056
  5. Step 5: Solve for x
    x = 12,413,525,056/79,486
  6. Step 6: Final answer
    x = 156,172.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.