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Finding the Third Proportional to 111,948 and 173,592

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Solution

The third proportional to 111,948 and 173,592 is: 269,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,948 : 173,592 = 173,592 : x
  2. Step 2: Convert to fraction form
    111,948/173,592 = 173,592/x
  3. Step 3: Cross multiply
    111,948x = 173,592 × 173,592
  4. Step 4: Simplify right side
    111,948x = 30,134,182,464
  5. Step 5: Solve for x
    x = 30,134,182,464/111,948
  6. Step 6: Final answer
    x = 269,180.18

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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.