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Finding the Third Proportional to 73,903 and 167,534.50

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Solution

The third proportional to 73,903 and 167,534.50 is: 379,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,903 : 167,534.50 = 167,534.50 : x
  2. Step 2: Convert to fraction form
    73,903/167,534.50 = 167,534.50/x
  3. Step 3: Cross multiply
    73,903x = 167,534.50 × 167,534.50
  4. Step 4: Simplify right side
    73,903x = 28,067,808,690.25
  5. Step 5: Solve for x
    x = 28,067,808,690.25/73,903
  6. Step 6: Final answer
    x = 379,792.55

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.