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Finding the Third Proportional to 51,240 and 76,113

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Solution

The third proportional to 51,240 and 76,113 is: 113,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 76,113 = 76,113 : x
  2. Step 2: Convert to fraction form
    51,240/76,113 = 76,113/x
  3. Step 3: Cross multiply
    51,240x = 76,113 × 76,113
  4. Step 4: Simplify right side
    51,240x = 5,793,188,769
  5. Step 5: Solve for x
    x = 5,793,188,769/51,240
  6. Step 6: Final answer
    x = 113,059.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.