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Finding the Third Proportional to 107,474 and 163,579

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Solution

The third proportional to 107,474 and 163,579 is: 248,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,474 : 163,579 = 163,579 : x
  2. Step 2: Convert to fraction form
    107,474/163,579 = 163,579/x
  3. Step 3: Cross multiply
    107,474x = 163,579 × 163,579
  4. Step 4: Simplify right side
    107,474x = 26,758,089,241
  5. Step 5: Solve for x
    x = 26,758,089,241/107,474
  6. Step 6: Final answer
    x = 248,972.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.