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Finding the Third Proportional to 99,339.75 and 149,229

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Solution

The third proportional to 99,339.75 and 149,229 is: 224,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,339.75 : 149,229 = 149,229 : x
  2. Step 2: Convert to fraction form
    99,339.75/149,229 = 149,229/x
  3. Step 3: Cross multiply
    99,339.75x = 149,229 × 149,229
  4. Step 4: Simplify right side
    99,339.75x = 22,269,294,441
  5. Step 5: Solve for x
    x = 22,269,294,441/99,339.75
  6. Step 6: Final answer
    x = 224,173.05

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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.