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Finding the Third Proportional to 46,764 and 71,122

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Solution

The third proportional to 46,764 and 71,122 is: 108,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764 : 71,122 = 71,122 : x
  2. Step 2: Convert to fraction form
    46,764/71,122 = 71,122/x
  3. Step 3: Cross multiply
    46,764x = 71,122 × 71,122
  4. Step 4: Simplify right side
    46,764x = 5,058,338,884
  5. Step 5: Solve for x
    x = 5,058,338,884/46,764
  6. Step 6: Final answer
    x = 108,167.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.