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Finding the Third Proportional to 71,736 and 110,628

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Solution

The third proportional to 71,736 and 110,628 is: 170,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,736 : 110,628 = 110,628 : x
  2. Step 2: Convert to fraction form
    71,736/110,628 = 110,628/x
  3. Step 3: Cross multiply
    71,736x = 110,628 × 110,628
  4. Step 4: Simplify right side
    71,736x = 12,238,554,384
  5. Step 5: Solve for x
    x = 12,238,554,384/71,736
  6. Step 6: Final answer
    x = 170,605.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.