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Finding the Third Proportional to 74,916.75 and 105,384

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Solution

The third proportional to 74,916.75 and 105,384 is: 148,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,916.75 : 105,384 = 105,384 : x
  2. Step 2: Convert to fraction form
    74,916.75/105,384 = 105,384/x
  3. Step 3: Cross multiply
    74,916.75x = 105,384 × 105,384
  4. Step 4: Simplify right side
    74,916.75x = 11,105,787,456
  5. Step 5: Solve for x
    x = 11,105,787,456/74,916.75
  6. Step 6: Final answer
    x = 148,241.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.