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Finding the Third Proportional to 141,051 and 206,171

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Solution

The third proportional to 141,051 and 206,171 is: 301,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,051 : 206,171 = 206,171 : x
  2. Step 2: Convert to fraction form
    141,051/206,171 = 206,171/x
  3. Step 3: Cross multiply
    141,051x = 206,171 × 206,171
  4. Step 4: Simplify right side
    141,051x = 42,506,481,241
  5. Step 5: Solve for x
    x = 42,506,481,241/141,051
  6. Step 6: Final answer
    x = 301,355.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.