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Finding the Third Proportional to 94,962 and 140,979

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Solution

The third proportional to 94,962 and 140,979 is: 209,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,962 : 140,979 = 140,979 : x
  2. Step 2: Convert to fraction form
    94,962/140,979 = 140,979/x
  3. Step 3: Cross multiply
    94,962x = 140,979 × 140,979
  4. Step 4: Simplify right side
    94,962x = 19,875,078,441
  5. Step 5: Solve for x
    x = 19,875,078,441/94,962
  6. Step 6: Final answer
    x = 209,295.07

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