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Finding the Third Proportional to 53,424 and 79,311.75

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Solution

The third proportional to 53,424 and 79,311.75 is: 117,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 79,311.75 = 79,311.75 : x
  2. Step 2: Convert to fraction form
    53,424/79,311.75 = 79,311.75/x
  3. Step 3: Cross multiply
    53,424x = 79,311.75 × 79,311.75
  4. Step 4: Simplify right side
    53,424x = 6,290,353,688.06
  5. Step 5: Solve for x
    x = 6,290,353,688.06/53,424
  6. Step 6: Final answer
    x = 117,743.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.