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Finding the Third Proportional to 100,466 and 147,675

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Solution

The third proportional to 100,466 and 147,675 is: 217,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466 : 147,675 = 147,675 : x
  2. Step 2: Convert to fraction form
    100,466/147,675 = 147,675/x
  3. Step 3: Cross multiply
    100,466x = 147,675 × 147,675
  4. Step 4: Simplify right side
    100,466x = 21,807,905,625
  5. Step 5: Solve for x
    x = 21,807,905,625/100,466
  6. Step 6: Final answer
    x = 217,067.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.