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Finding the Third Proportional to 111,909 and 173,283

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Solution

The third proportional to 111,909 and 173,283 is: 268,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,909 : 173,283 = 173,283 : x
  2. Step 2: Convert to fraction form
    111,909/173,283 = 173,283/x
  3. Step 3: Cross multiply
    111,909x = 173,283 × 173,283
  4. Step 4: Simplify right side
    111,909x = 30,026,998,089
  5. Step 5: Solve for x
    x = 30,026,998,089/111,909
  6. Step 6: Final answer
    x = 268,316.20

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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.