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Finding the Third Proportional to 65,344 and 97,834

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Solution

The third proportional to 65,344 and 97,834 is: 146,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344 : 97,834 = 97,834 : x
  2. Step 2: Convert to fraction form
    65,344/97,834 = 97,834/x
  3. Step 3: Cross multiply
    65,344x = 97,834 × 97,834
  4. Step 4: Simplify right side
    65,344x = 9,571,491,556
  5. Step 5: Solve for x
    x = 9,571,491,556/65,344
  6. Step 6: Final answer
    x = 146,478.51

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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.