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Finding the Third Proportional to 100,034 and 213,460

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Solution

The third proportional to 100,034 and 213,460 is: 455,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034 : 213,460 = 213,460 : x
  2. Step 2: Convert to fraction form
    100,034/213,460 = 213,460/x
  3. Step 3: Cross multiply
    100,034x = 213,460 × 213,460
  4. Step 4: Simplify right side
    100,034x = 45,565,171,600
  5. Step 5: Solve for x
    x = 45,565,171,600/100,034
  6. Step 6: Final answer
    x = 455,496.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.