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Finding the Third Proportional to 46,159.88 and 75,367.97

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Solution

The third proportional to 46,159.88 and 75,367.97 is: 123,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,159.88 : 75,367.97 = 75,367.97 : x
  2. Step 2: Convert to fraction form
    46,159.88/75,367.97 = 75,367.97/x
  3. Step 3: Cross multiply
    46,159.88x = 75,367.97 × 75,367.97
  4. Step 4: Simplify right side
    46,159.88x = 5,680,330,713.50
  5. Step 5: Solve for x
    x = 5,680,330,713.50/46,159.88
  6. Step 6: Final answer
    x = 123,057.76

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.