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Finding the Third Proportional to 90,477 and 140,886

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Solution

The third proportional to 90,477 and 140,886 is: 219,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,477 : 140,886 = 140,886 : x
  2. Step 2: Convert to fraction form
    90,477/140,886 = 140,886/x
  3. Step 3: Cross multiply
    90,477x = 140,886 × 140,886
  4. Step 4: Simplify right side
    90,477x = 19,848,864,996
  5. Step 5: Solve for x
    x = 19,848,864,996/90,477
  6. Step 6: Final answer
    x = 219,380.23

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Why These Related Problems?

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