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Finding the Third Proportional to 45,947.25 and 123,666.75

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Solution

The third proportional to 45,947.25 and 123,666.75 is: 332,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,947.25 : 123,666.75 = 123,666.75 : x
  2. Step 2: Convert to fraction form
    45,947.25/123,666.75 = 123,666.75/x
  3. Step 3: Cross multiply
    45,947.25x = 123,666.75 × 123,666.75
  4. Step 4: Simplify right side
    45,947.25x = 15,293,465,055.56
  5. Step 5: Solve for x
    x = 15,293,465,055.56/45,947.25
  6. Step 6: Final answer
    x = 332,848.32

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.