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Finding the Third Proportional to 141,117 and 216,171

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Solution

The third proportional to 141,117 and 216,171 is: 331,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,117 : 216,171 = 216,171 : x
  2. Step 2: Convert to fraction form
    141,117/216,171 = 216,171/x
  3. Step 3: Cross multiply
    141,117x = 216,171 × 216,171
  4. Step 4: Simplify right side
    141,117x = 46,729,901,241
  5. Step 5: Solve for x
    x = 46,729,901,241/141,117
  6. Step 6: Final answer
    x = 331,142.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.