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Finding the Third Proportional to 114,459.75 and 175,092.75

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Solution

The third proportional to 114,459.75 and 175,092.75 is: 267,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459.75 : 175,092.75 = 175,092.75 : x
  2. Step 2: Convert to fraction form
    114,459.75/175,092.75 = 175,092.75/x
  3. Step 3: Cross multiply
    114,459.75x = 175,092.75 × 175,092.75
  4. Step 4: Simplify right side
    114,459.75x = 30,657,471,102.56
  5. Step 5: Solve for x
    x = 30,657,471,102.56/114,459.75
  6. Step 6: Final answer
    x = 267,844.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.