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Finding the Third Proportional to 85,869 and 189,575

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Solution

The third proportional to 85,869 and 189,575 is: 418,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,869 : 189,575 = 189,575 : x
  2. Step 2: Convert to fraction form
    85,869/189,575 = 189,575/x
  3. Step 3: Cross multiply
    85,869x = 189,575 × 189,575
  4. Step 4: Simplify right side
    85,869x = 35,938,680,625
  5. Step 5: Solve for x
    x = 35,938,680,625/85,869
  6. Step 6: Final answer
    x = 418,529.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.