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Finding the Third Proportional to 55,703 and 122,017

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Solution

The third proportional to 55,703 and 122,017 is: 267,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,703 : 122,017 = 122,017 : x
  2. Step 2: Convert to fraction form
    55,703/122,017 = 122,017/x
  3. Step 3: Cross multiply
    55,703x = 122,017 × 122,017
  4. Step 4: Simplify right side
    55,703x = 14,888,148,289
  5. Step 5: Solve for x
    x = 14,888,148,289/55,703
  6. Step 6: Final answer
    x = 267,277.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.