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Finding the Third Proportional to 57,599 and 90,161

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Solution

The third proportional to 57,599 and 90,161 is: 141,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,599 : 90,161 = 90,161 : x
  2. Step 2: Convert to fraction form
    57,599/90,161 = 90,161/x
  3. Step 3: Cross multiply
    57,599x = 90,161 × 90,161
  4. Step 4: Simplify right side
    57,599x = 8,129,005,921
  5. Step 5: Solve for x
    x = 8,129,005,921/57,599
  6. Step 6: Final answer
    x = 141,131.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.