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Finding the Third Proportional to 132,066 and 198,117

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Solution

The third proportional to 132,066 and 198,117 is: 297,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,066 : 198,117 = 198,117 : x
  2. Step 2: Convert to fraction form
    132,066/198,117 = 198,117/x
  3. Step 3: Cross multiply
    132,066x = 198,117 × 198,117
  4. Step 4: Simplify right side
    132,066x = 39,250,345,689
  5. Step 5: Solve for x
    x = 39,250,345,689/132,066
  6. Step 6: Final answer
    x = 297,202.50

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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.