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Finding the Third Proportional to 85,210 and 131,802

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Solution

The third proportional to 85,210 and 131,802 is: 203,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210 : 131,802 = 131,802 : x
  2. Step 2: Convert to fraction form
    85,210/131,802 = 131,802/x
  3. Step 3: Cross multiply
    85,210x = 131,802 × 131,802
  4. Step 4: Simplify right side
    85,210x = 17,371,767,204
  5. Step 5: Solve for x
    x = 17,371,767,204/85,210
  6. Step 6: Final answer
    x = 203,870.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.