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Finding the Third Proportional to 98,794 and 149,061

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Solution

The third proportional to 98,794 and 149,061 is: 224,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,794 : 149,061 = 149,061 : x
  2. Step 2: Convert to fraction form
    98,794/149,061 = 149,061/x
  3. Step 3: Cross multiply
    98,794x = 149,061 × 149,061
  4. Step 4: Simplify right side
    98,794x = 22,219,181,721
  5. Step 5: Solve for x
    x = 22,219,181,721/98,794
  6. Step 6: Final answer
    x = 224,904.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.