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Finding the Third Proportional to 101,754 and 155,655

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Solution

The third proportional to 101,754 and 155,655 is: 238,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,754 : 155,655 = 155,655 : x
  2. Step 2: Convert to fraction form
    101,754/155,655 = 155,655/x
  3. Step 3: Cross multiply
    101,754x = 155,655 × 155,655
  4. Step 4: Simplify right side
    101,754x = 24,228,479,025
  5. Step 5: Solve for x
    x = 24,228,479,025/101,754
  6. Step 6: Final answer
    x = 238,108.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.