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Finding the Third Proportional to 43,353 and 90,141

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Solution

The third proportional to 43,353 and 90,141 is: 187,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,353 : 90,141 = 90,141 : x
  2. Step 2: Convert to fraction form
    43,353/90,141 = 90,141/x
  3. Step 3: Cross multiply
    43,353x = 90,141 × 90,141
  4. Step 4: Simplify right side
    43,353x = 8,125,399,881
  5. Step 5: Solve for x
    x = 8,125,399,881/43,353
  6. Step 6: Final answer
    x = 187,424.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.