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Finding the Third Proportional to 97,860 and 136,166

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Solution

The third proportional to 97,860 and 136,166 is: 189,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,860 : 136,166 = 136,166 : x
  2. Step 2: Convert to fraction form
    97,860/136,166 = 136,166/x
  3. Step 3: Cross multiply
    97,860x = 136,166 × 136,166
  4. Step 4: Simplify right side
    97,860x = 18,541,179,556
  5. Step 5: Solve for x
    x = 18,541,179,556/97,860
  6. Step 6: Final answer
    x = 189,466.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.