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Finding the Third Proportional to 34,660 and 75,656

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Solution

The third proportional to 34,660 and 75,656 is: 165,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,660 : 75,656 = 75,656 : x
  2. Step 2: Convert to fraction form
    34,660/75,656 = 75,656/x
  3. Step 3: Cross multiply
    34,660x = 75,656 × 75,656
  4. Step 4: Simplify right side
    34,660x = 5,723,830,336
  5. Step 5: Solve for x
    x = 5,723,830,336/34,660
  6. Step 6: Final answer
    x = 165,142.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.