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Finding the Third Proportional to 73,170 and 109,442

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Solution

The third proportional to 73,170 and 109,442 is: 163,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170 : 109,442 = 109,442 : x
  2. Step 2: Convert to fraction form
    73,170/109,442 = 109,442/x
  3. Step 3: Cross multiply
    73,170x = 109,442 × 109,442
  4. Step 4: Simplify right side
    73,170x = 11,977,551,364
  5. Step 5: Solve for x
    x = 11,977,551,364/73,170
  6. Step 6: Final answer
    x = 163,694.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.