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Finding the Third Proportional to 141,172 and 211,806

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Solution

The third proportional to 141,172 and 211,806 is: 317,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,172 : 211,806 = 211,806 : x
  2. Step 2: Convert to fraction form
    141,172/211,806 = 211,806/x
  3. Step 3: Cross multiply
    141,172x = 211,806 × 211,806
  4. Step 4: Simplify right side
    141,172x = 44,861,781,636
  5. Step 5: Solve for x
    x = 44,861,781,636/141,172
  6. Step 6: Final answer
    x = 317,781.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.