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Finding the Third Proportional to 90,485 and 140,898

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Solution

The third proportional to 90,485 and 140,898 is: 219,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,485 : 140,898 = 140,898 : x
  2. Step 2: Convert to fraction form
    90,485/140,898 = 140,898/x
  3. Step 3: Cross multiply
    90,485x = 140,898 × 140,898
  4. Step 4: Simplify right side
    90,485x = 19,852,246,404
  5. Step 5: Solve for x
    x = 19,852,246,404/90,485
  6. Step 6: Final answer
    x = 219,398.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.