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Finding the Third Proportional to 56,859 and 89,196

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Solution

The third proportional to 56,859 and 89,196 is: 139,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,859 : 89,196 = 89,196 : x
  2. Step 2: Convert to fraction form
    56,859/89,196 = 89,196/x
  3. Step 3: Cross multiply
    56,859x = 89,196 × 89,196
  4. Step 4: Simplify right side
    56,859x = 7,955,926,416
  5. Step 5: Solve for x
    x = 7,955,926,416/56,859
  6. Step 6: Final answer
    x = 139,923.78

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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.