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Finding the Third Proportional to 114,026 and 247,936

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Solution

The third proportional to 114,026 and 247,936 is: 539,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,026 : 247,936 = 247,936 : x
  2. Step 2: Convert to fraction form
    114,026/247,936 = 247,936/x
  3. Step 3: Cross multiply
    114,026x = 247,936 × 247,936
  4. Step 4: Simplify right side
    114,026x = 61,472,260,096
  5. Step 5: Solve for x
    x = 61,472,260,096/114,026
  6. Step 6: Final answer
    x = 539,107.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.