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Finding the Third Proportional to 85,696 and 131,808

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Solution

The third proportional to 85,696 and 131,808 is: 202,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,696 : 131,808 = 131,808 : x
  2. Step 2: Convert to fraction form
    85,696/131,808 = 131,808/x
  3. Step 3: Cross multiply
    85,696x = 131,808 × 131,808
  4. Step 4: Simplify right side
    85,696x = 17,373,348,864
  5. Step 5: Solve for x
    x = 17,373,348,864/85,696
  6. Step 6: Final answer
    x = 202,732.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.