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Finding the Third Proportional to 97,636 and 146,068

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Solution

The third proportional to 97,636 and 146,068 is: 218,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,636 : 146,068 = 146,068 : x
  2. Step 2: Convert to fraction form
    97,636/146,068 = 146,068/x
  3. Step 3: Cross multiply
    97,636x = 146,068 × 146,068
  4. Step 4: Simplify right side
    97,636x = 21,335,860,624
  5. Step 5: Solve for x
    x = 21,335,860,624/97,636
  6. Step 6: Final answer
    x = 218,524.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.