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Finding the Third Proportional to 94,635 and 146,508.75

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Solution

The third proportional to 94,635 and 146,508.75 is: 226,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,635 : 146,508.75 = 146,508.75 : x
  2. Step 2: Convert to fraction form
    94,635/146,508.75 = 146,508.75/x
  3. Step 3: Cross multiply
    94,635x = 146,508.75 × 146,508.75
  4. Step 4: Simplify right side
    94,635x = 21,464,813,826.56
  5. Step 5: Solve for x
    x = 21,464,813,826.56/94,635
  6. Step 6: Final answer
    x = 226,816.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.