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Finding the Third Proportional to 59,279 and 105,399.50

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Solution

The third proportional to 59,279 and 105,399.50 is: 187,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,279 : 105,399.50 = 105,399.50 : x
  2. Step 2: Convert to fraction form
    59,279/105,399.50 = 105,399.50/x
  3. Step 3: Cross multiply
    59,279x = 105,399.50 × 105,399.50
  4. Step 4: Simplify right side
    59,279x = 11,109,054,600.25
  5. Step 5: Solve for x
    x = 11,109,054,600.25/59,279
  6. Step 6: Final answer
    x = 187,402.87

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.