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Finding the Third Proportional to 56,976 and 88,451.25

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Solution

The third proportional to 56,976 and 88,451.25 is: 137,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,976 : 88,451.25 = 88,451.25 : x
  2. Step 2: Convert to fraction form
    56,976/88,451.25 = 88,451.25/x
  3. Step 3: Cross multiply
    56,976x = 88,451.25 × 88,451.25
  4. Step 4: Simplify right side
    56,976x = 7,823,623,626.56
  5. Step 5: Solve for x
    x = 7,823,623,626.56/56,976
  6. Step 6: Final answer
    x = 137,314.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.