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Finding the Third Proportional to 41,669 and 66,194.50

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Solution

The third proportional to 41,669 and 66,194.50 is: 105,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,669 : 66,194.50 = 66,194.50 : x
  2. Step 2: Convert to fraction form
    41,669/66,194.50 = 66,194.50/x
  3. Step 3: Cross multiply
    41,669x = 66,194.50 × 66,194.50
  4. Step 4: Simplify right side
    41,669x = 4,381,711,830.25
  5. Step 5: Solve for x
    x = 4,381,711,830.25/41,669
  6. Step 6: Final answer
    x = 105,155.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.