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Finding the Third Proportional to 80,476 and 116,069

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Solution

The third proportional to 80,476 and 116,069 is: 167,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,476 : 116,069 = 116,069 : x
  2. Step 2: Convert to fraction form
    80,476/116,069 = 116,069/x
  3. Step 3: Cross multiply
    80,476x = 116,069 × 116,069
  4. Step 4: Simplify right side
    80,476x = 13,472,012,761
  5. Step 5: Solve for x
    x = 13,472,012,761/80,476
  6. Step 6: Final answer
    x = 167,404.11

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.