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Finding the Third Proportional to 66,962 and 90,943

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Solution

The third proportional to 66,962 and 90,943 is: 123,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,962 : 90,943 = 90,943 : x
  2. Step 2: Convert to fraction form
    66,962/90,943 = 90,943/x
  3. Step 3: Cross multiply
    66,962x = 90,943 × 90,943
  4. Step 4: Simplify right side
    66,962x = 8,270,629,249
  5. Step 5: Solve for x
    x = 8,270,629,249/66,962
  6. Step 6: Final answer
    x = 123,512.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.