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Finding the Third Proportional to 100,659 and 212,982

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Solution

The third proportional to 100,659 and 212,982 is: 450,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,659 : 212,982 = 212,982 : x
  2. Step 2: Convert to fraction form
    100,659/212,982 = 212,982/x
  3. Step 3: Cross multiply
    100,659x = 212,982 × 212,982
  4. Step 4: Simplify right side
    100,659x = 45,361,332,324
  5. Step 5: Solve for x
    x = 45,361,332,324/100,659
  6. Step 6: Final answer
    x = 450,643.58

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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.