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Finding the Third Proportional to 34,232 and 73,557

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Solution

The third proportional to 34,232 and 73,557 is: 158,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,232 : 73,557 = 73,557 : x
  2. Step 2: Convert to fraction form
    34,232/73,557 = 73,557/x
  3. Step 3: Cross multiply
    34,232x = 73,557 × 73,557
  4. Step 4: Simplify right side
    34,232x = 5,410,632,249
  5. Step 5: Solve for x
    x = 5,410,632,249/34,232
  6. Step 6: Final answer
    x = 158,057.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.