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Finding the Third Proportional to 75,108 and 140,754

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Solution

The third proportional to 75,108 and 140,754 is: 263,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108 : 140,754 = 140,754 : x
  2. Step 2: Convert to fraction form
    75,108/140,754 = 140,754/x
  3. Step 3: Cross multiply
    75,108x = 140,754 × 140,754
  4. Step 4: Simplify right side
    75,108x = 19,811,688,516
  5. Step 5: Solve for x
    x = 19,811,688,516/75,108
  6. Step 6: Final answer
    x = 263,776.01

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.