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Finding the Third Proportional to 55,644 and 121,512

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Solution

The third proportional to 55,644 and 121,512 is: 265,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,644 : 121,512 = 121,512 : x
  2. Step 2: Convert to fraction form
    55,644/121,512 = 121,512/x
  3. Step 3: Cross multiply
    55,644x = 121,512 × 121,512
  4. Step 4: Simplify right side
    55,644x = 14,765,166,144
  5. Step 5: Solve for x
    x = 14,765,166,144/55,644
  6. Step 6: Final answer
    x = 265,350.55

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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.