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Finding the Third Proportional to 35,680 and 75,344

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Solution

The third proportional to 35,680 and 75,344 is: 159,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680 : 75,344 = 75,344 : x
  2. Step 2: Convert to fraction form
    35,680/75,344 = 75,344/x
  3. Step 3: Cross multiply
    35,680x = 75,344 × 75,344
  4. Step 4: Simplify right side
    35,680x = 5,676,718,336
  5. Step 5: Solve for x
    x = 5,676,718,336/35,680
  6. Step 6: Final answer
    x = 159,100.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.