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Finding the Third Proportional to 75,024 and 117,144

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Solution

The third proportional to 75,024 and 117,144 is: 182,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 117,144 = 117,144 : x
  2. Step 2: Convert to fraction form
    75,024/117,144 = 117,144/x
  3. Step 3: Cross multiply
    75,024x = 117,144 × 117,144
  4. Step 4: Simplify right side
    75,024x = 13,722,716,736
  5. Step 5: Solve for x
    x = 13,722,716,736/75,024
  6. Step 6: Final answer
    x = 182,911.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.