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Finding the Third Proportional to 43,718 and 90,546

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Solution

The third proportional to 43,718 and 90,546 is: 187,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,718 : 90,546 = 90,546 : x
  2. Step 2: Convert to fraction form
    43,718/90,546 = 90,546/x
  3. Step 3: Cross multiply
    43,718x = 90,546 × 90,546
  4. Step 4: Simplify right side
    43,718x = 8,198,578,116
  5. Step 5: Solve for x
    x = 8,198,578,116/43,718
  6. Step 6: Final answer
    x = 187,533.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.