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Finding the Third Proportional to 60,096.94 and 100,095.75

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Solution

The third proportional to 60,096.94 and 100,095.75 is: 166,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,096.94 : 100,095.75 = 100,095.75 : x
  2. Step 2: Convert to fraction form
    60,096.94/100,095.75 = 100,095.75/x
  3. Step 3: Cross multiply
    60,096.94x = 100,095.75 × 100,095.75
  4. Step 4: Simplify right side
    60,096.94x = 10,019,159,168.06
  5. Step 5: Solve for x
    x = 10,019,159,168.06/60,096.94
  6. Step 6: Final answer
    x = 166,716.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.