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Finding the Third Proportional to 56,822 and 88,941

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Solution

The third proportional to 56,822 and 88,941 is: 139,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,822 : 88,941 = 88,941 : x
  2. Step 2: Convert to fraction form
    56,822/88,941 = 88,941/x
  3. Step 3: Cross multiply
    56,822x = 88,941 × 88,941
  4. Step 4: Simplify right side
    56,822x = 7,910,501,481
  5. Step 5: Solve for x
    x = 7,910,501,481/56,822
  6. Step 6: Final answer
    x = 139,215.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.