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Finding the Third Proportional to 40,972 and 88,504

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Solution

The third proportional to 40,972 and 88,504 is: 191,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,972 : 88,504 = 88,504 : x
  2. Step 2: Convert to fraction form
    40,972/88,504 = 88,504/x
  3. Step 3: Cross multiply
    40,972x = 88,504 × 88,504
  4. Step 4: Simplify right side
    40,972x = 7,832,958,016
  5. Step 5: Solve for x
    x = 7,832,958,016/40,972
  6. Step 6: Final answer
    x = 191,178.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.