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Finding the Third Proportional to 136,641.94 and 183,844.69

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Solution

The third proportional to 136,641.94 and 183,844.69 is: 247,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,641.94 : 183,844.69 = 183,844.69 : x
  2. Step 2: Convert to fraction form
    136,641.94/183,844.69 = 183,844.69/x
  3. Step 3: Cross multiply
    136,641.94x = 183,844.69 × 183,844.69
  4. Step 4: Simplify right side
    136,641.94x = 33,798,869,121.97
  5. Step 5: Solve for x
    x = 33,798,869,121.97/136,641.94
  6. Step 6: Final answer
    x = 247,353.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.