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Finding the Third Proportional to 75,462 and 157,125

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Solution

The third proportional to 75,462 and 157,125 is: 327,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462 : 157,125 = 157,125 : x
  2. Step 2: Convert to fraction form
    75,462/157,125 = 157,125/x
  3. Step 3: Cross multiply
    75,462x = 157,125 × 157,125
  4. Step 4: Simplify right side
    75,462x = 24,688,265,625
  5. Step 5: Solve for x
    x = 24,688,265,625/75,462
  6. Step 6: Final answer
    x = 327,161.56

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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.