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Finding the Third Proportional to 107,033.25 and 235,254

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Solution

The third proportional to 107,033.25 and 235,254 is: 517,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,033.25 : 235,254 = 235,254 : x
  2. Step 2: Convert to fraction form
    107,033.25/235,254 = 235,254/x
  3. Step 3: Cross multiply
    107,033.25x = 235,254 × 235,254
  4. Step 4: Simplify right side
    107,033.25x = 55,344,444,516
  5. Step 5: Solve for x
    x = 55,344,444,516/107,033.25
  6. Step 6: Final answer
    x = 517,077.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.