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Finding the Third Proportional to 74,951.06 and 152,912.81

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Solution

The third proportional to 74,951.06 and 152,912.81 is: 311,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,951.06 : 152,912.81 = 152,912.81 : x
  2. Step 2: Convert to fraction form
    74,951.06/152,912.81 = 152,912.81/x
  3. Step 3: Cross multiply
    74,951.06x = 152,912.81 × 152,912.81
  4. Step 4: Simplify right side
    74,951.06x = 23,382,328,226.66
  5. Step 5: Solve for x
    x = 23,382,328,226.66/74,951.06
  6. Step 6: Final answer
    x = 311,967.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.