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Finding the Third Proportional to 64,348 and 97,834

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Solution

The third proportional to 64,348 and 97,834 is: 148,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,348 : 97,834 = 97,834 : x
  2. Step 2: Convert to fraction form
    64,348/97,834 = 97,834/x
  3. Step 3: Cross multiply
    64,348x = 97,834 × 97,834
  4. Step 4: Simplify right side
    64,348x = 9,571,491,556
  5. Step 5: Solve for x
    x = 9,571,491,556/64,348
  6. Step 6: Final answer
    x = 148,745.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.