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Finding the Third Proportional to 66,969 and 103,761

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Solution

The third proportional to 66,969 and 103,761 is: 160,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,969 : 103,761 = 103,761 : x
  2. Step 2: Convert to fraction form
    66,969/103,761 = 103,761/x
  3. Step 3: Cross multiply
    66,969x = 103,761 × 103,761
  4. Step 4: Simplify right side
    66,969x = 10,766,345,121
  5. Step 5: Solve for x
    x = 10,766,345,121/66,969
  6. Step 6: Final answer
    x = 160,766.10

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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.