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Finding the Third Proportional to 85,600 and 133,581

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Solution

The third proportional to 85,600 and 133,581 is: 208,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,600 : 133,581 = 133,581 : x
  2. Step 2: Convert to fraction form
    85,600/133,581 = 133,581/x
  3. Step 3: Cross multiply
    85,600x = 133,581 × 133,581
  4. Step 4: Simplify right side
    85,600x = 17,843,883,561
  5. Step 5: Solve for x
    x = 17,843,883,561/85,600
  6. Step 6: Final answer
    x = 208,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.