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Finding the Third Proportional to 128,567.25 and 192,726

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Solution

The third proportional to 128,567.25 and 192,726 is: 288,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,567.25 : 192,726 = 192,726 : x
  2. Step 2: Convert to fraction form
    128,567.25/192,726 = 192,726/x
  3. Step 3: Cross multiply
    128,567.25x = 192,726 × 192,726
  4. Step 4: Simplify right side
    128,567.25x = 37,143,311,076
  5. Step 5: Solve for x
    x = 37,143,311,076/128,567.25
  6. Step 6: Final answer
    x = 288,901.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.