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Finding the Third Proportional to 71,943 and 146,742

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Solution

The third proportional to 71,943 and 146,742 is: 299,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,943 : 146,742 = 146,742 : x
  2. Step 2: Convert to fraction form
    71,943/146,742 = 146,742/x
  3. Step 3: Cross multiply
    71,943x = 146,742 × 146,742
  4. Step 4: Simplify right side
    71,943x = 21,533,214,564
  5. Step 5: Solve for x
    x = 21,533,214,564/71,943
  6. Step 6: Final answer
    x = 299,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.