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Finding the Third Proportional to 85,476.75 and 122,049

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Solution

The third proportional to 85,476.75 and 122,049 is: 174,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,476.75 : 122,049 = 122,049 : x
  2. Step 2: Convert to fraction form
    85,476.75/122,049 = 122,049/x
  3. Step 3: Cross multiply
    85,476.75x = 122,049 × 122,049
  4. Step 4: Simplify right side
    85,476.75x = 14,895,958,401
  5. Step 5: Solve for x
    x = 14,895,958,401/85,476.75
  6. Step 6: Final answer
    x = 174,269.12

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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.