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Finding the Third Proportional to 60,194 and 128,165

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Solution

The third proportional to 60,194 and 128,165 is: 272,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,194 : 128,165 = 128,165 : x
  2. Step 2: Convert to fraction form
    60,194/128,165 = 128,165/x
  3. Step 3: Cross multiply
    60,194x = 128,165 × 128,165
  4. Step 4: Simplify right side
    60,194x = 16,426,267,225
  5. Step 5: Solve for x
    x = 16,426,267,225/60,194
  6. Step 6: Final answer
    x = 272,888.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.