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Finding the Third Proportional to 85,158 and 122,201

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Solution

The third proportional to 85,158 and 122,201 is: 175,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,158 : 122,201 = 122,201 : x
  2. Step 2: Convert to fraction form
    85,158/122,201 = 122,201/x
  3. Step 3: Cross multiply
    85,158x = 122,201 × 122,201
  4. Step 4: Simplify right side
    85,158x = 14,933,084,401
  5. Step 5: Solve for x
    x = 14,933,084,401/85,158
  6. Step 6: Final answer
    x = 175,357.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.