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Finding the Third Proportional to 66,766 and 103,981

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Solution

The third proportional to 66,766 and 103,981 is: 161,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766 : 103,981 = 103,981 : x
  2. Step 2: Convert to fraction form
    66,766/103,981 = 103,981/x
  3. Step 3: Cross multiply
    66,766x = 103,981 × 103,981
  4. Step 4: Simplify right side
    66,766x = 10,812,048,361
  5. Step 5: Solve for x
    x = 10,812,048,361/66,766
  6. Step 6: Final answer
    x = 161,939.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.