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Finding the Third Proportional to 64,778 and 97,234

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Solution

The third proportional to 64,778 and 97,234 is: 145,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,778 : 97,234 = 97,234 : x
  2. Step 2: Convert to fraction form
    64,778/97,234 = 97,234/x
  3. Step 3: Cross multiply
    64,778x = 97,234 × 97,234
  4. Step 4: Simplify right side
    64,778x = 9,454,450,756
  5. Step 5: Solve for x
    x = 9,454,450,756/64,778
  6. Step 6: Final answer
    x = 145,951.57

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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.