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Finding the Third Proportional to 50,761.69 and 74,411.16

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Solution

The third proportional to 50,761.69 and 74,411.16 is: 109,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,761.69 : 74,411.16 = 74,411.16 : x
  2. Step 2: Convert to fraction form
    50,761.69/74,411.16 = 74,411.16/x
  3. Step 3: Cross multiply
    50,761.69x = 74,411.16 × 74,411.16
  4. Step 4: Simplify right side
    50,761.69x = 5,537,020,174.46
  5. Step 5: Solve for x
    x = 5,537,020,174.46/50,761.69
  6. Step 6: Final answer
    x = 109,078.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.