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Finding the Third Proportional to 71,944 and 168,037

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Solution

The third proportional to 71,944 and 168,037 is: 392,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,944 : 168,037 = 168,037 : x
  2. Step 2: Convert to fraction form
    71,944/168,037 = 168,037/x
  3. Step 3: Cross multiply
    71,944x = 168,037 × 168,037
  4. Step 4: Simplify right side
    71,944x = 28,236,433,369
  5. Step 5: Solve for x
    x = 28,236,433,369/71,944
  6. Step 6: Final answer
    x = 392,477.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.