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Finding the Third Proportional to 111,903 and 173,526.75

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Solution

The third proportional to 111,903 and 173,526.75 is: 269,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,903 : 173,526.75 = 173,526.75 : x
  2. Step 2: Convert to fraction form
    111,903/173,526.75 = 173,526.75/x
  3. Step 3: Cross multiply
    111,903x = 173,526.75 × 173,526.75
  4. Step 4: Simplify right side
    111,903x = 30,111,532,965.56
  5. Step 5: Solve for x
    x = 30,111,532,965.56/111,903
  6. Step 6: Final answer
    x = 269,086.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.