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Finding the Third Proportional to 99,165.75 and 151,074

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Solution

The third proportional to 99,165.75 and 151,074 is: 230,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,165.75 : 151,074 = 151,074 : x
  2. Step 2: Convert to fraction form
    99,165.75/151,074 = 151,074/x
  3. Step 3: Cross multiply
    99,165.75x = 151,074 × 151,074
  4. Step 4: Simplify right side
    99,165.75x = 22,823,353,476
  5. Step 5: Solve for x
    x = 22,823,353,476/99,165.75
  6. Step 6: Final answer
    x = 230,153.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.