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Finding the Third Proportional to 132,944 and 199,515

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Solution

The third proportional to 132,944 and 199,515 is: 299,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,944 : 199,515 = 199,515 : x
  2. Step 2: Convert to fraction form
    132,944/199,515 = 199,515/x
  3. Step 3: Cross multiply
    132,944x = 199,515 × 199,515
  4. Step 4: Simplify right side
    132,944x = 39,806,235,225
  5. Step 5: Solve for x
    x = 39,806,235,225/132,944
  6. Step 6: Final answer
    x = 299,421.07

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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.