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Finding the Third Proportional to 46,126.69 and 75,321.22

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Solution

The third proportional to 46,126.69 and 75,321.22 is: 122,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,126.69 : 75,321.22 = 75,321.22 : x
  2. Step 2: Convert to fraction form
    46,126.69/75,321.22 = 75,321.22/x
  3. Step 3: Cross multiply
    46,126.69x = 75,321.22 × 75,321.22
  4. Step 4: Simplify right side
    46,126.69x = 5,673,286,141.10
  5. Step 5: Solve for x
    x = 5,673,286,141.10/46,126.69
  6. Step 6: Final answer
    x = 122,993.56

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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.