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Finding the Third Proportional to 113,964 and 247,992

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Solution

The third proportional to 113,964 and 247,992 is: 539,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,964 : 247,992 = 247,992 : x
  2. Step 2: Convert to fraction form
    113,964/247,992 = 247,992/x
  3. Step 3: Cross multiply
    113,964x = 247,992 × 247,992
  4. Step 4: Simplify right side
    113,964x = 61,500,032,064
  5. Step 5: Solve for x
    x = 61,500,032,064/113,964
  6. Step 6: Final answer
    x = 539,644.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.