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Finding the Third Proportional to 94,980 and 150,396

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Solution

The third proportional to 94,980 and 150,396 is: 238,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,980 : 150,396 = 150,396 : x
  2. Step 2: Convert to fraction form
    94,980/150,396 = 150,396/x
  3. Step 3: Cross multiply
    94,980x = 150,396 × 150,396
  4. Step 4: Simplify right side
    94,980x = 22,618,956,816
  5. Step 5: Solve for x
    x = 22,618,956,816/94,980
  6. Step 6: Final answer
    x = 238,144.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.