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Finding the Third Proportional to 40,128 and 60,194

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Solution

The third proportional to 40,128 and 60,194 is: 90,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,128 : 60,194 = 60,194 : x
  2. Step 2: Convert to fraction form
    40,128/60,194 = 60,194/x
  3. Step 3: Cross multiply
    40,128x = 60,194 × 60,194
  4. Step 4: Simplify right side
    40,128x = 3,623,317,636
  5. Step 5: Solve for x
    x = 3,623,317,636/40,128
  6. Step 6: Final answer
    x = 90,294.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.