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Finding the Third Proportional to 55,946 and 121,372

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Solution

The third proportional to 55,946 and 121,372 is: 263,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,946 : 121,372 = 121,372 : x
  2. Step 2: Convert to fraction form
    55,946/121,372 = 121,372/x
  3. Step 3: Cross multiply
    55,946x = 121,372 × 121,372
  4. Step 4: Simplify right side
    55,946x = 14,731,162,384
  5. Step 5: Solve for x
    x = 14,731,162,384/55,946
  6. Step 6: Final answer
    x = 263,310.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.