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Finding the Third Proportional to 64,725.33 and 133,944.05

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Solution

The third proportional to 64,725.33 and 133,944.05 is: 277,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,725.33 : 133,944.05 = 133,944.05 : x
  2. Step 2: Convert to fraction form
    64,725.33/133,944.05 = 133,944.05/x
  3. Step 3: Cross multiply
    64,725.33x = 133,944.05 × 133,944.05
  4. Step 4: Simplify right side
    64,725.33x = 17,941,007,693.25
  5. Step 5: Solve for x
    x = 17,941,007,693.25/64,725.33
  6. Step 6: Final answer
    x = 277,186.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.