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Finding the Third Proportional to 56,206 and 75,181

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Solution

The third proportional to 56,206 and 75,181 is: 100,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,206 : 75,181 = 75,181 : x
  2. Step 2: Convert to fraction form
    56,206/75,181 = 75,181/x
  3. Step 3: Cross multiply
    56,206x = 75,181 × 75,181
  4. Step 4: Simplify right side
    56,206x = 5,652,182,761
  5. Step 5: Solve for x
    x = 5,652,182,761/56,206
  6. Step 6: Final answer
    x = 100,561.91

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.