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Finding the Third Proportional to 94,966 and 140,985

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Solution

The third proportional to 94,966 and 140,985 is: 209,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,966 : 140,985 = 140,985 : x
  2. Step 2: Convert to fraction form
    94,966/140,985 = 140,985/x
  3. Step 3: Cross multiply
    94,966x = 140,985 × 140,985
  4. Step 4: Simplify right side
    94,966x = 19,876,770,225
  5. Step 5: Solve for x
    x = 19,876,770,225/94,966
  6. Step 6: Final answer
    x = 209,304.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.