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Finding the Third Proportional to 115,938 and 179,145

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Solution

The third proportional to 115,938 and 179,145 is: 276,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,938 : 179,145 = 179,145 : x
  2. Step 2: Convert to fraction form
    115,938/179,145 = 179,145/x
  3. Step 3: Cross multiply
    115,938x = 179,145 × 179,145
  4. Step 4: Simplify right side
    115,938x = 32,092,931,025
  5. Step 5: Solve for x
    x = 32,092,931,025/115,938
  6. Step 6: Final answer
    x = 276,811.15

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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.