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Finding the Third Proportional to 52,993.50 and 110,298

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Solution

The third proportional to 52,993.50 and 110,298 is: 229,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,993.50 : 110,298 = 110,298 : x
  2. Step 2: Convert to fraction form
    52,993.50/110,298 = 110,298/x
  3. Step 3: Cross multiply
    52,993.50x = 110,298 × 110,298
  4. Step 4: Simplify right side
    52,993.50x = 12,165,648,804
  5. Step 5: Solve for x
    x = 12,165,648,804/52,993.50
  6. Step 6: Final answer
    x = 229,568.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.