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Finding the Third Proportional to 34,520 and 73,957

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Solution

The third proportional to 34,520 and 73,957 is: 158,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,520 : 73,957 = 73,957 : x
  2. Step 2: Convert to fraction form
    34,520/73,957 = 73,957/x
  3. Step 3: Cross multiply
    34,520x = 73,957 × 73,957
  4. Step 4: Simplify right side
    34,520x = 5,469,637,849
  5. Step 5: Solve for x
    x = 5,469,637,849/34,520
  6. Step 6: Final answer
    x = 158,448.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.