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Finding the Third Proportional to 42,132 and 90,096

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Solution

The third proportional to 42,132 and 90,096 is: 192,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,132 : 90,096 = 90,096 : x
  2. Step 2: Convert to fraction form
    42,132/90,096 = 90,096/x
  3. Step 3: Cross multiply
    42,132x = 90,096 × 90,096
  4. Step 4: Simplify right side
    42,132x = 8,117,289,216
  5. Step 5: Solve for x
    x = 8,117,289,216/42,132
  6. Step 6: Final answer
    x = 192,663.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.