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Finding the Third Proportional to 132,087 and 198,753

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Solution

The third proportional to 132,087 and 198,753 is: 299,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,087 : 198,753 = 198,753 : x
  2. Step 2: Convert to fraction form
    132,087/198,753 = 198,753/x
  3. Step 3: Cross multiply
    132,087x = 198,753 × 198,753
  4. Step 4: Simplify right side
    132,087x = 39,502,755,009
  5. Step 5: Solve for x
    x = 39,502,755,009/132,087
  6. Step 6: Final answer
    x = 299,066.18

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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.