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Finding the Third Proportional to 75,424 and 157,106

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Solution

The third proportional to 75,424 and 157,106 is: 327,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424 : 157,106 = 157,106 : x
  2. Step 2: Convert to fraction form
    75,424/157,106 = 157,106/x
  3. Step 3: Cross multiply
    75,424x = 157,106 × 157,106
  4. Step 4: Simplify right side
    75,424x = 24,682,295,236
  5. Step 5: Solve for x
    x = 24,682,295,236/75,424
  6. Step 6: Final answer
    x = 327,247.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.