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Finding the Third Proportional to 45,942 and 100,088

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Solution

The third proportional to 45,942 and 100,088 is: 218,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,942 : 100,088 = 100,088 : x
  2. Step 2: Convert to fraction form
    45,942/100,088 = 100,088/x
  3. Step 3: Cross multiply
    45,942x = 100,088 × 100,088
  4. Step 4: Simplify right side
    45,942x = 10,017,607,744
  5. Step 5: Solve for x
    x = 10,017,607,744/45,942
  6. Step 6: Final answer
    x = 218,049.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.