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Finding the Third Proportional to 95,384.25 and 146,306.25

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Solution

The third proportional to 95,384.25 and 146,306.25 is: 224,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,384.25 : 146,306.25 = 146,306.25 : x
  2. Step 2: Convert to fraction form
    95,384.25/146,306.25 = 146,306.25/x
  3. Step 3: Cross multiply
    95,384.25x = 146,306.25 × 146,306.25
  4. Step 4: Simplify right side
    95,384.25x = 21,405,518,789.06
  5. Step 5: Solve for x
    x = 21,405,518,789.06/95,384.25
  6. Step 6: Final answer
    x = 224,413.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.