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Finding the Third Proportional to 45,501 and 100,002

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Solution

The third proportional to 45,501 and 100,002 is: 219,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,501 : 100,002 = 100,002 : x
  2. Step 2: Convert to fraction form
    45,501/100,002 = 100,002/x
  3. Step 3: Cross multiply
    45,501x = 100,002 × 100,002
  4. Step 4: Simplify right side
    45,501x = 10,000,400,004
  5. Step 5: Solve for x
    x = 10,000,400,004/45,501
  6. Step 6: Final answer
    x = 219,784.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.