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Finding the Third Proportional to 134,909 and 194,905

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Solution

The third proportional to 134,909 and 194,905 is: 281,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,909 : 194,905 = 194,905 : x
  2. Step 2: Convert to fraction form
    134,909/194,905 = 194,905/x
  3. Step 3: Cross multiply
    134,909x = 194,905 × 194,905
  4. Step 4: Simplify right side
    134,909x = 37,987,959,025
  5. Step 5: Solve for x
    x = 37,987,959,025/134,909
  6. Step 6: Final answer
    x = 281,582.10

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.