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Finding the Third Proportional to 64,198 and 141,206

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Solution

The third proportional to 64,198 and 141,206 is: 310,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,198 : 141,206 = 141,206 : x
  2. Step 2: Convert to fraction form
    64,198/141,206 = 141,206/x
  3. Step 3: Cross multiply
    64,198x = 141,206 × 141,206
  4. Step 4: Simplify right side
    64,198x = 19,939,134,436
  5. Step 5: Solve for x
    x = 19,939,134,436/64,198
  6. Step 6: Final answer
    x = 310,588.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.