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Finding the Third Proportional to 55,834 and 121,364

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Solution

The third proportional to 55,834 and 121,364 is: 263,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,834 : 121,364 = 121,364 : x
  2. Step 2: Convert to fraction form
    55,834/121,364 = 121,364/x
  3. Step 3: Cross multiply
    55,834x = 121,364 × 121,364
  4. Step 4: Simplify right side
    55,834x = 14,729,220,496
  5. Step 5: Solve for x
    x = 14,729,220,496/55,834
  6. Step 6: Final answer
    x = 263,803.78

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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.