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Finding the Third Proportional to 101,005 and 212,478

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Solution

The third proportional to 101,005 and 212,478 is: 446,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,005 : 212,478 = 212,478 : x
  2. Step 2: Convert to fraction form
    101,005/212,478 = 212,478/x
  3. Step 3: Cross multiply
    101,005x = 212,478 × 212,478
  4. Step 4: Simplify right side
    101,005x = 45,146,900,484
  5. Step 5: Solve for x
    x = 45,146,900,484/101,005
  6. Step 6: Final answer
    x = 446,976.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.