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Finding the Third Proportional to 132,025 and 198,672

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Solution

The third proportional to 132,025 and 198,672 is: 298,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,025 : 198,672 = 198,672 : x
  2. Step 2: Convert to fraction form
    132,025/198,672 = 198,672/x
  3. Step 3: Cross multiply
    132,025x = 198,672 × 198,672
  4. Step 4: Simplify right side
    132,025x = 39,470,563,584
  5. Step 5: Solve for x
    x = 39,470,563,584/132,025
  6. Step 6: Final answer
    x = 298,962.80

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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.