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Finding the Third Proportional to 56,858 and 89,967

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Solution

The third proportional to 56,858 and 89,967 is: 142,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,858 : 89,967 = 89,967 : x
  2. Step 2: Convert to fraction form
    56,858/89,967 = 89,967/x
  3. Step 3: Cross multiply
    56,858x = 89,967 × 89,967
  4. Step 4: Simplify right side
    56,858x = 8,094,061,089
  5. Step 5: Solve for x
    x = 8,094,061,089/56,858
  6. Step 6: Final answer
    x = 142,355.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.