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Finding the Third Proportional to 89,439 and 189,537

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Solution

The third proportional to 89,439 and 189,537 is: 401,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,439 : 189,537 = 189,537 : x
  2. Step 2: Convert to fraction form
    89,439/189,537 = 189,537/x
  3. Step 3: Cross multiply
    89,439x = 189,537 × 189,537
  4. Step 4: Simplify right side
    89,439x = 35,924,274,369
  5. Step 5: Solve for x
    x = 35,924,274,369/89,439
  6. Step 6: Final answer
    x = 401,662.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.