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Finding the Third Proportional to 34,176 and 52,344

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Solution

The third proportional to 34,176 and 52,344 is: 80,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176 : 52,344 = 52,344 : x
  2. Step 2: Convert to fraction form
    34,176/52,344 = 52,344/x
  3. Step 3: Cross multiply
    34,176x = 52,344 × 52,344
  4. Step 4: Simplify right side
    34,176x = 2,739,894,336
  5. Step 5: Solve for x
    x = 2,739,894,336/34,176
  6. Step 6: Final answer
    x = 80,170.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.