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Finding the Third Proportional to 55,434 and 121,938

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Solution

The third proportional to 55,434 and 121,938 is: 268,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,434 : 121,938 = 121,938 : x
  2. Step 2: Convert to fraction form
    55,434/121,938 = 121,938/x
  3. Step 3: Cross multiply
    55,434x = 121,938 × 121,938
  4. Step 4: Simplify right side
    55,434x = 14,868,875,844
  5. Step 5: Solve for x
    x = 14,868,875,844/55,434
  6. Step 6: Final answer
    x = 268,226.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.