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Finding the Third Proportional to 90,963 and 186,462

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Solution

The third proportional to 90,963 and 186,462 is: 382,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,963 : 186,462 = 186,462 : x
  2. Step 2: Convert to fraction form
    90,963/186,462 = 186,462/x
  3. Step 3: Cross multiply
    90,963x = 186,462 × 186,462
  4. Step 4: Simplify right side
    90,963x = 34,768,077,444
  5. Step 5: Solve for x
    x = 34,768,077,444/90,963
  6. Step 6: Final answer
    x = 382,222.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.