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Finding the Third Proportional to 66,974 and 103,610

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Solution

The third proportional to 66,974 and 103,610 is: 160,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,974 : 103,610 = 103,610 : x
  2. Step 2: Convert to fraction form
    66,974/103,610 = 103,610/x
  3. Step 3: Cross multiply
    66,974x = 103,610 × 103,610
  4. Step 4: Simplify right side
    66,974x = 10,735,032,100
  5. Step 5: Solve for x
    x = 10,735,032,100/66,974
  6. Step 6: Final answer
    x = 160,286.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.