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Finding the Third Proportional to 94,973 and 140,995

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Solution

The third proportional to 94,973 and 140,995 is: 209,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,973 : 140,995 = 140,995 : x
  2. Step 2: Convert to fraction form
    94,973/140,995 = 140,995/x
  3. Step 3: Cross multiply
    94,973x = 140,995 × 140,995
  4. Step 4: Simplify right side
    94,973x = 19,879,590,025
  5. Step 5: Solve for x
    x = 19,879,590,025/94,973
  6. Step 6: Final answer
    x = 209,318.33

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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.