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Finding the Third Proportional to 107,088.75 and 150,426.75

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Solution

The third proportional to 107,088.75 and 150,426.75 is: 211,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,088.75 : 150,426.75 = 150,426.75 : x
  2. Step 2: Convert to fraction form
    107,088.75/150,426.75 = 150,426.75/x
  3. Step 3: Cross multiply
    107,088.75x = 150,426.75 × 150,426.75
  4. Step 4: Simplify right side
    107,088.75x = 22,628,207,115.56
  5. Step 5: Solve for x
    x = 22,628,207,115.56/107,088.75
  6. Step 6: Final answer
    x = 211,303.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.