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Finding the Third Proportional to 85,441 and 131,508

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Solution

The third proportional to 85,441 and 131,508 is: 202,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,441 : 131,508 = 131,508 : x
  2. Step 2: Convert to fraction form
    85,441/131,508 = 131,508/x
  3. Step 3: Cross multiply
    85,441x = 131,508 × 131,508
  4. Step 4: Simplify right side
    85,441x = 17,294,354,064
  5. Step 5: Solve for x
    x = 17,294,354,064/85,441
  6. Step 6: Final answer
    x = 202,412.82

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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.