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Finding the Third Proportional to 75,565.41 and 164,947.64

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Solution

The third proportional to 75,565.41 and 164,947.64 is: 360,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,565.41 : 164,947.64 = 164,947.64 : x
  2. Step 2: Convert to fraction form
    75,565.41/164,947.64 = 164,947.64/x
  3. Step 3: Cross multiply
    75,565.41x = 164,947.64 × 164,947.64
  4. Step 4: Simplify right side
    75,565.41x = 27,207,724,147.75
  5. Step 5: Solve for x
    x = 27,207,724,147.75/75,565.41
  6. Step 6: Final answer
    x = 360,055.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.