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Finding the Third Proportional to 113,856 and 163,992

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Solution

The third proportional to 113,856 and 163,992 is: 236,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,856 : 163,992 = 163,992 : x
  2. Step 2: Convert to fraction form
    113,856/163,992 = 163,992/x
  3. Step 3: Cross multiply
    113,856x = 163,992 × 163,992
  4. Step 4: Simplify right side
    113,856x = 26,893,376,064
  5. Step 5: Solve for x
    x = 26,893,376,064/113,856
  6. Step 6: Final answer
    x = 236,205.17

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Why These Related Problems?

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