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Finding the Third Proportional to 55,684.97 and 120,603.94

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Solution

The third proportional to 55,684.97 and 120,603.94 is: 261,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,684.97 : 120,603.94 = 120,603.94 : x
  2. Step 2: Convert to fraction form
    55,684.97/120,603.94 = 120,603.94/x
  3. Step 3: Cross multiply
    55,684.97x = 120,603.94 × 120,603.94
  4. Step 4: Simplify right side
    55,684.97x = 14,545,309,740.50
  5. Step 5: Solve for x
    x = 14,545,309,740.50/55,684.97
  6. Step 6: Final answer
    x = 261,207.11

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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.