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Finding the Third Proportional to 55,836.75 and 120,897.75

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Solution

The third proportional to 55,836.75 and 120,897.75 is: 261,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836.75 : 120,897.75 = 120,897.75 : x
  2. Step 2: Convert to fraction form
    55,836.75/120,897.75 = 120,897.75/x
  3. Step 3: Cross multiply
    55,836.75x = 120,897.75 × 120,897.75
  4. Step 4: Simplify right side
    55,836.75x = 14,616,265,955.06
  5. Step 5: Solve for x
    x = 14,616,265,955.06/55,836.75
  6. Step 6: Final answer
    x = 261,767.85

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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.