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Finding the Third Proportional to 66,939 and 103,650

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Solution

The third proportional to 66,939 and 103,650 is: 160,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939 : 103,650 = 103,650 : x
  2. Step 2: Convert to fraction form
    66,939/103,650 = 103,650/x
  3. Step 3: Cross multiply
    66,939x = 103,650 × 103,650
  4. Step 4: Simplify right side
    66,939x = 10,743,322,500
  5. Step 5: Solve for x
    x = 10,743,322,500/66,939
  6. Step 6: Final answer
    x = 160,494.22

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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.