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Finding the Third Proportional to 138,024 and 195,345

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Solution

The third proportional to 138,024 and 195,345 is: 276,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,024 : 195,345 = 195,345 : x
  2. Step 2: Convert to fraction form
    138,024/195,345 = 195,345/x
  3. Step 3: Cross multiply
    138,024x = 195,345 × 195,345
  4. Step 4: Simplify right side
    138,024x = 38,159,669,025
  5. Step 5: Solve for x
    x = 38,159,669,025/138,024
  6. Step 6: Final answer
    x = 276,471.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.