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Finding the Third Proportional to 72,986 and 110,001

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Solution

The third proportional to 72,986 and 110,001 is: 165,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986 : 110,001 = 110,001 : x
  2. Step 2: Convert to fraction form
    72,986/110,001 = 110,001/x
  3. Step 3: Cross multiply
    72,986x = 110,001 × 110,001
  4. Step 4: Simplify right side
    72,986x = 12,100,220,001
  5. Step 5: Solve for x
    x = 12,100,220,001/72,986
  6. Step 6: Final answer
    x = 165,788.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.