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Finding the Third Proportional to 20,090 and 45,121

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Solution

The third proportional to 20,090 and 45,121 is: 101,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090 : 45,121 = 45,121 : x
  2. Step 2: Convert to fraction form
    20,090/45,121 = 45,121/x
  3. Step 3: Cross multiply
    20,090x = 45,121 × 45,121
  4. Step 4: Simplify right side
    20,090x = 2,035,904,641
  5. Step 5: Solve for x
    x = 2,035,904,641/20,090
  6. Step 6: Final answer
    x = 101,339.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.