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Finding the Third Proportional to 75,188.25 and 133,655.06

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Solution

The third proportional to 75,188.25 and 133,655.06 is: 237,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188.25 : 133,655.06 = 133,655.06 : x
  2. Step 2: Convert to fraction form
    75,188.25/133,655.06 = 133,655.06/x
  3. Step 3: Cross multiply
    75,188.25x = 133,655.06 × 133,655.06
  4. Step 4: Simplify right side
    75,188.25x = 17,863,675,731.88
  5. Step 5: Solve for x
    x = 17,863,675,731.88/75,188.25
  6. Step 6: Final answer
    x = 237,586.00

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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.