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Finding the Third Proportional to 35,138 and 75,649

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Solution

The third proportional to 35,138 and 75,649 is: 162,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138 : 75,649 = 75,649 : x
  2. Step 2: Convert to fraction form
    35,138/75,649 = 75,649/x
  3. Step 3: Cross multiply
    35,138x = 75,649 × 75,649
  4. Step 4: Simplify right side
    35,138x = 5,722,771,201
  5. Step 5: Solve for x
    x = 5,722,771,201/35,138
  6. Step 6: Final answer
    x = 162,865.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.