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Finding the Third Proportional to 51,394.50 and 74,904.75

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Solution

The third proportional to 51,394.50 and 74,904.75 is: 109,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394.50 : 74,904.75 = 74,904.75 : x
  2. Step 2: Convert to fraction form
    51,394.50/74,904.75 = 74,904.75/x
  3. Step 3: Cross multiply
    51,394.50x = 74,904.75 × 74,904.75
  4. Step 4: Simplify right side
    51,394.50x = 5,610,721,572.56
  5. Step 5: Solve for x
    x = 5,610,721,572.56/51,394.50
  6. Step 6: Final answer
    x = 109,169.69

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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.