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Finding the Third Proportional to 35,086 and 66,938

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Solution

The third proportional to 35,086 and 66,938 is: 127,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,086 : 66,938 = 66,938 : x
  2. Step 2: Convert to fraction form
    35,086/66,938 = 66,938/x
  3. Step 3: Cross multiply
    35,086x = 66,938 × 66,938
  4. Step 4: Simplify right side
    35,086x = 4,480,695,844
  5. Step 5: Solve for x
    x = 4,480,695,844/35,086
  6. Step 6: Final answer
    x = 127,706.09

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.