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Finding the Third Proportional to 79,750 and 116,166

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Solution

The third proportional to 79,750 and 116,166 is: 169,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,750 : 116,166 = 116,166 : x
  2. Step 2: Convert to fraction form
    79,750/116,166 = 116,166/x
  3. Step 3: Cross multiply
    79,750x = 116,166 × 116,166
  4. Step 4: Simplify right side
    79,750x = 13,494,539,556
  5. Step 5: Solve for x
    x = 13,494,539,556/79,750
  6. Step 6: Final answer
    x = 169,210.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.