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Finding the Third Proportional to 45,049 and 67,411

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Solution

The third proportional to 45,049 and 67,411 is: 100,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,049 : 67,411 = 67,411 : x
  2. Step 2: Convert to fraction form
    45,049/67,411 = 67,411/x
  3. Step 3: Cross multiply
    45,049x = 67,411 × 67,411
  4. Step 4: Simplify right side
    45,049x = 4,544,242,921
  5. Step 5: Solve for x
    x = 4,544,242,921/45,049
  6. Step 6: Final answer
    x = 100,873.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.