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Finding the Third Proportional to 56,656 and 86,350

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Solution

The third proportional to 56,656 and 86,350 is: 131,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,656 : 86,350 = 86,350 : x
  2. Step 2: Convert to fraction form
    56,656/86,350 = 86,350/x
  3. Step 3: Cross multiply
    56,656x = 86,350 × 86,350
  4. Step 4: Simplify right side
    56,656x = 7,456,322,500
  5. Step 5: Solve for x
    x = 7,456,322,500/56,656
  6. Step 6: Final answer
    x = 131,606.93

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