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Finding the Third Proportional to 51,202.13 and 74,854.69

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Solution

The third proportional to 51,202.13 and 74,854.69 is: 109,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202.13 : 74,854.69 = 74,854.69 : x
  2. Step 2: Convert to fraction form
    51,202.13/74,854.69 = 74,854.69/x
  3. Step 3: Cross multiply
    51,202.13x = 74,854.69 × 74,854.69
  4. Step 4: Simplify right side
    51,202.13x = 5,603,224,240.72
  5. Step 5: Solve for x
    x = 5,603,224,240.72/51,202.13
  6. Step 6: Final answer
    x = 109,433.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.