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Finding the Third Proportional to 85,169 and 179,158

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Solution

The third proportional to 85,169 and 179,158 is: 376,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,169 : 179,158 = 179,158 : x
  2. Step 2: Convert to fraction form
    85,169/179,158 = 179,158/x
  3. Step 3: Cross multiply
    85,169x = 179,158 × 179,158
  4. Step 4: Simplify right side
    85,169x = 32,097,588,964
  5. Step 5: Solve for x
    x = 32,097,588,964/85,169
  6. Step 6: Final answer
    x = 376,869.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.