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Finding the Third Proportional to 97,230 and 158,766

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Solution

The third proportional to 97,230 and 158,766 is: 259,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,230 : 158,766 = 158,766 : x
  2. Step 2: Convert to fraction form
    97,230/158,766 = 158,766/x
  3. Step 3: Cross multiply
    97,230x = 158,766 × 158,766
  4. Step 4: Simplify right side
    97,230x = 25,206,642,756
  5. Step 5: Solve for x
    x = 25,206,642,756/97,230
  6. Step 6: Final answer
    x = 259,247.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.