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Finding the Third Proportional to 56,841 and 89,166

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Solution

The third proportional to 56,841 and 89,166 is: 139,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,841 : 89,166 = 89,166 : x
  2. Step 2: Convert to fraction form
    56,841/89,166 = 89,166/x
  3. Step 3: Cross multiply
    56,841x = 89,166 × 89,166
  4. Step 4: Simplify right side
    56,841x = 7,950,575,556
  5. Step 5: Solve for x
    x = 7,950,575,556/56,841
  6. Step 6: Final answer
    x = 139,873.96

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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.