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Finding the Third Proportional to 66,906 and 100,926

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Solution

The third proportional to 66,906 and 100,926 is: 152,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906 : 100,926 = 100,926 : x
  2. Step 2: Convert to fraction form
    66,906/100,926 = 100,926/x
  3. Step 3: Cross multiply
    66,906x = 100,926 × 100,926
  4. Step 4: Simplify right side
    66,906x = 10,186,057,476
  5. Step 5: Solve for x
    x = 10,186,057,476/66,906
  6. Step 6: Final answer
    x = 152,244.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.