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Finding the Third Proportional to 71,947 and 168,044

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Solution

The third proportional to 71,947 and 168,044 is: 392,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,947 : 168,044 = 168,044 : x
  2. Step 2: Convert to fraction form
    71,947/168,044 = 168,044/x
  3. Step 3: Cross multiply
    71,947x = 168,044 × 168,044
  4. Step 4: Simplify right side
    71,947x = 28,238,785,936
  5. Step 5: Solve for x
    x = 28,238,785,936/71,947
  6. Step 6: Final answer
    x = 392,494.28

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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.