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Finding the Third Proportional to 72,850 and 158,939

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Solution

The third proportional to 72,850 and 158,939 is: 346,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,850 : 158,939 = 158,939 : x
  2. Step 2: Convert to fraction form
    72,850/158,939 = 158,939/x
  3. Step 3: Cross multiply
    72,850x = 158,939 × 158,939
  4. Step 4: Simplify right side
    72,850x = 25,261,605,721
  5. Step 5: Solve for x
    x = 25,261,605,721/72,850
  6. Step 6: Final answer
    x = 346,761.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.