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Finding the Third Proportional to 56,906.50 and 86,142.25

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Solution

The third proportional to 56,906.50 and 86,142.25 is: 130,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,906.50 : 86,142.25 = 86,142.25 : x
  2. Step 2: Convert to fraction form
    56,906.50/86,142.25 = 86,142.25/x
  3. Step 3: Cross multiply
    56,906.50x = 86,142.25 × 86,142.25
  4. Step 4: Simplify right side
    56,906.50x = 7,420,487,235.06
  5. Step 5: Solve for x
    x = 7,420,487,235.06/56,906.50
  6. Step 6: Final answer
    x = 130,397.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.