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Finding the Third Proportional to 41,169 and 89,870

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Solution

The third proportional to 41,169 and 89,870 is: 196,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,169 : 89,870 = 89,870 : x
  2. Step 2: Convert to fraction form
    41,169/89,870 = 89,870/x
  3. Step 3: Cross multiply
    41,169x = 89,870 × 89,870
  4. Step 4: Simplify right side
    41,169x = 8,076,616,900
  5. Step 5: Solve for x
    x = 8,076,616,900/41,169
  6. Step 6: Final answer
    x = 196,182.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.