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Finding the Third Proportional to 55,907 and 121,656

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Solution

The third proportional to 55,907 and 121,656 is: 264,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,907 : 121,656 = 121,656 : x
  2. Step 2: Convert to fraction form
    55,907/121,656 = 121,656/x
  3. Step 3: Cross multiply
    55,907x = 121,656 × 121,656
  4. Step 4: Simplify right side
    55,907x = 14,800,182,336
  5. Step 5: Solve for x
    x = 14,800,182,336/55,907
  6. Step 6: Final answer
    x = 264,728.61

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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.