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Finding the Third Proportional to 55,929 and 118,336

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Solution

The third proportional to 55,929 and 118,336 is: 250,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,929 : 118,336 = 118,336 : x
  2. Step 2: Convert to fraction form
    55,929/118,336 = 118,336/x
  3. Step 3: Cross multiply
    55,929x = 118,336 × 118,336
  4. Step 4: Simplify right side
    55,929x = 14,003,408,896
  5. Step 5: Solve for x
    x = 14,003,408,896/55,929
  6. Step 6: Final answer
    x = 250,378.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.