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Finding the Third Proportional to 34,049 and 72,208

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Solution

The third proportional to 34,049 and 72,208 is: 153,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049 : 72,208 = 72,208 : x
  2. Step 2: Convert to fraction form
    34,049/72,208 = 72,208/x
  3. Step 3: Cross multiply
    34,049x = 72,208 × 72,208
  4. Step 4: Simplify right side
    34,049x = 5,213,995,264
  5. Step 5: Solve for x
    x = 5,213,995,264/34,049
  6. Step 6: Final answer
    x = 153,132.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.