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Finding the Third Proportional to 102,754 and 161,232

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Solution

The third proportional to 102,754 and 161,232 is: 252,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,754 : 161,232 = 161,232 : x
  2. Step 2: Convert to fraction form
    102,754/161,232 = 161,232/x
  3. Step 3: Cross multiply
    102,754x = 161,232 × 161,232
  4. Step 4: Simplify right side
    102,754x = 25,995,757,824
  5. Step 5: Solve for x
    x = 25,995,757,824/102,754
  6. Step 6: Final answer
    x = 252,990.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.