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Finding the Third Proportional to 55,854 and 120,454

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Solution

The third proportional to 55,854 and 120,454 is: 259,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854 : 120,454 = 120,454 : x
  2. Step 2: Convert to fraction form
    55,854/120,454 = 120,454/x
  3. Step 3: Cross multiply
    55,854x = 120,454 × 120,454
  4. Step 4: Simplify right side
    55,854x = 14,509,166,116
  5. Step 5: Solve for x
    x = 14,509,166,116/55,854
  6. Step 6: Final answer
    x = 259,769.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.