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Finding the Third Proportional to 45,181 and 67,644

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Solution

The third proportional to 45,181 and 67,644 is: 101,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,181 : 67,644 = 67,644 : x
  2. Step 2: Convert to fraction form
    45,181/67,644 = 67,644/x
  3. Step 3: Cross multiply
    45,181x = 67,644 × 67,644
  4. Step 4: Simplify right side
    45,181x = 4,575,710,736
  5. Step 5: Solve for x
    x = 4,575,710,736/45,181
  6. Step 6: Final answer
    x = 101,275.11

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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.