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Finding the Third Proportional to 89,242 and 185,881

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Solution

The third proportional to 89,242 and 185,881 is: 387,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,242 : 185,881 = 185,881 : x
  2. Step 2: Convert to fraction form
    89,242/185,881 = 185,881/x
  3. Step 3: Cross multiply
    89,242x = 185,881 × 185,881
  4. Step 4: Simplify right side
    89,242x = 34,551,746,161
  5. Step 5: Solve for x
    x = 34,551,746,161/89,242
  6. Step 6: Final answer
    x = 387,169.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.