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Finding the Third Proportional to 43,098 and 90,118

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Solution

The third proportional to 43,098 and 90,118 is: 188,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098 : 90,118 = 90,118 : x
  2. Step 2: Convert to fraction form
    43,098/90,118 = 90,118/x
  3. Step 3: Cross multiply
    43,098x = 90,118 × 90,118
  4. Step 4: Simplify right side
    43,098x = 8,121,253,924
  5. Step 5: Solve for x
    x = 8,121,253,924/43,098
  6. Step 6: Final answer
    x = 188,436.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.