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Finding the Third Proportional to 136,923.75 and 204,644.81

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Solution

The third proportional to 136,923.75 and 204,644.81 is: 305,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,923.75 : 204,644.81 = 204,644.81 : x
  2. Step 2: Convert to fraction form
    136,923.75/204,644.81 = 204,644.81/x
  3. Step 3: Cross multiply
    136,923.75x = 204,644.81 × 204,644.81
  4. Step 4: Simplify right side
    136,923.75x = 41,879,499,283.16
  5. Step 5: Solve for x
    x = 41,879,499,283.16/136,923.75
  6. Step 6: Final answer
    x = 305,860.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.