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Finding the Third Proportional to 89,442 and 189,531

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Solution

The third proportional to 89,442 and 189,531 is: 401,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,442 : 189,531 = 189,531 : x
  2. Step 2: Convert to fraction form
    89,442/189,531 = 189,531/x
  3. Step 3: Cross multiply
    89,442x = 189,531 × 189,531
  4. Step 4: Simplify right side
    89,442x = 35,921,999,961
  5. Step 5: Solve for x
    x = 35,921,999,961/89,442
  6. Step 6: Final answer
    x = 401,623.40

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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.