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Finding the Third Proportional to 99,774 and 149,655

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Solution

The third proportional to 99,774 and 149,655 is: 224,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774 : 149,655 = 149,655 : x
  2. Step 2: Convert to fraction form
    99,774/149,655 = 149,655/x
  3. Step 3: Cross multiply
    99,774x = 149,655 × 149,655
  4. Step 4: Simplify right side
    99,774x = 22,396,619,025
  5. Step 5: Solve for x
    x = 22,396,619,025/99,774
  6. Step 6: Final answer
    x = 224,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.