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Finding the Third Proportional to 85,893.75 and 133,579.13

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Solution

The third proportional to 85,893.75 and 133,579.13 is: 207,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,893.75 : 133,579.13 = 133,579.13 : x
  2. Step 2: Convert to fraction form
    85,893.75/133,579.13 = 133,579.13/x
  3. Step 3: Cross multiply
    85,893.75x = 133,579.13 × 133,579.13
  4. Step 4: Simplify right side
    85,893.75x = 17,843,382,635.77
  5. Step 5: Solve for x
    x = 17,843,382,635.77/85,893.75
  6. Step 6: Final answer
    x = 207,737.85

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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.