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Finding the Third Proportional to 40,736 and 89,130

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Solution

The third proportional to 40,736 and 89,130 is: 195,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,736 : 89,130 = 89,130 : x
  2. Step 2: Convert to fraction form
    40,736/89,130 = 89,130/x
  3. Step 3: Cross multiply
    40,736x = 89,130 × 89,130
  4. Step 4: Simplify right side
    40,736x = 7,944,156,900
  5. Step 5: Solve for x
    x = 7,944,156,900/40,736
  6. Step 6: Final answer
    x = 195,015.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.