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Finding the Third Proportional to 72,627 and 100,011

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Solution

The third proportional to 72,627 and 100,011 is: 137,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,627 : 100,011 = 100,011 : x
  2. Step 2: Convert to fraction form
    72,627/100,011 = 100,011/x
  3. Step 3: Cross multiply
    72,627x = 100,011 × 100,011
  4. Step 4: Simplify right side
    72,627x = 10,002,200,121
  5. Step 5: Solve for x
    x = 10,002,200,121/72,627
  6. Step 6: Final answer
    x = 137,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.