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Finding the Third Proportional to 94,974 and 140,996

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Solution

The third proportional to 94,974 and 140,996 is: 209,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,974 : 140,996 = 140,996 : x
  2. Step 2: Convert to fraction form
    94,974/140,996 = 140,996/x
  3. Step 3: Cross multiply
    94,974x = 140,996 × 140,996
  4. Step 4: Simplify right side
    94,974x = 19,879,872,016
  5. Step 5: Solve for x
    x = 19,879,872,016/94,974
  6. Step 6: Final answer
    x = 209,319.10

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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.