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Finding the Third Proportional to 71,344.50 and 109,701

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Solution

The third proportional to 71,344.50 and 109,701 is: 168,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,344.50 : 109,701 = 109,701 : x
  2. Step 2: Convert to fraction form
    71,344.50/109,701 = 109,701/x
  3. Step 3: Cross multiply
    71,344.50x = 109,701 × 109,701
  4. Step 4: Simplify right side
    71,344.50x = 12,034,309,401
  5. Step 5: Solve for x
    x = 12,034,309,401/71,344.50
  6. Step 6: Final answer
    x = 168,678.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.