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Finding the Third Proportional to 94,986 and 141,015

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Solution

The third proportional to 94,986 and 141,015 is: 209,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,986 : 141,015 = 141,015 : x
  2. Step 2: Convert to fraction form
    94,986/141,015 = 141,015/x
  3. Step 3: Cross multiply
    94,986x = 141,015 × 141,015
  4. Step 4: Simplify right side
    94,986x = 19,885,230,225
  5. Step 5: Solve for x
    x = 19,885,230,225/94,986
  6. Step 6: Final answer
    x = 209,349.06

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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.