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Finding the Third Proportional to 55,692 and 120,078

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Solution

The third proportional to 55,692 and 120,078 is: 258,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692 : 120,078 = 120,078 : x
  2. Step 2: Convert to fraction form
    55,692/120,078 = 120,078/x
  3. Step 3: Cross multiply
    55,692x = 120,078 × 120,078
  4. Step 4: Simplify right side
    55,692x = 14,418,726,084
  5. Step 5: Solve for x
    x = 14,418,726,084/55,692
  6. Step 6: Final answer
    x = 258,901.21

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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.