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Finding the Third Proportional to 73,226 and 110,649

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Solution

The third proportional to 73,226 and 110,649 is: 167,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226 : 110,649 = 110,649 : x
  2. Step 2: Convert to fraction form
    73,226/110,649 = 110,649/x
  3. Step 3: Cross multiply
    73,226x = 110,649 × 110,649
  4. Step 4: Simplify right side
    73,226x = 12,243,201,201
  5. Step 5: Solve for x
    x = 12,243,201,201/73,226
  6. Step 6: Final answer
    x = 167,197.46

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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.