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Finding the Third Proportional to 132,970 and 199,005

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Solution

The third proportional to 132,970 and 199,005 is: 297,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970 : 199,005 = 199,005 : x
  2. Step 2: Convert to fraction form
    132,970/199,005 = 199,005/x
  3. Step 3: Cross multiply
    132,970x = 199,005 × 199,005
  4. Step 4: Simplify right side
    132,970x = 39,602,990,025
  5. Step 5: Solve for x
    x = 39,602,990,025/132,970
  6. Step 6: Final answer
    x = 297,834.02

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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.