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Finding the Third Proportional to 85,868 and 131,362

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Solution

The third proportional to 85,868 and 131,362 is: 200,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,868 : 131,362 = 131,362 : x
  2. Step 2: Convert to fraction form
    85,868/131,362 = 131,362/x
  3. Step 3: Cross multiply
    85,868x = 131,362 × 131,362
  4. Step 4: Simplify right side
    85,868x = 17,255,975,044
  5. Step 5: Solve for x
    x = 17,255,975,044/85,868
  6. Step 6: Final answer
    x = 200,959.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.