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Finding the Third Proportional to 71,726 and 151,652

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Solution

The third proportional to 71,726 and 151,652 is: 320,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,726 : 151,652 = 151,652 : x
  2. Step 2: Convert to fraction form
    71,726/151,652 = 151,652/x
  3. Step 3: Cross multiply
    71,726x = 151,652 × 151,652
  4. Step 4: Simplify right side
    71,726x = 22,998,329,104
  5. Step 5: Solve for x
    x = 22,998,329,104/71,726
  6. Step 6: Final answer
    x = 320,641.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.