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Finding the Third Proportional to 55,385 and 121,846

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Solution

The third proportional to 55,385 and 121,846 is: 268,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,385 : 121,846 = 121,846 : x
  2. Step 2: Convert to fraction form
    55,385/121,846 = 121,846/x
  3. Step 3: Cross multiply
    55,385x = 121,846 × 121,846
  4. Step 4: Simplify right side
    55,385x = 14,846,447,716
  5. Step 5: Solve for x
    x = 14,846,447,716/55,385
  6. Step 6: Final answer
    x = 268,059.00

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