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Finding the Third Proportional to 101,131 and 145,671

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Solution

The third proportional to 101,131 and 145,671 is: 209,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,131 : 145,671 = 145,671 : x
  2. Step 2: Convert to fraction form
    101,131/145,671 = 145,671/x
  3. Step 3: Cross multiply
    101,131x = 145,671 × 145,671
  4. Step 4: Simplify right side
    101,131x = 21,220,040,241
  5. Step 5: Solve for x
    x = 21,220,040,241/101,131
  6. Step 6: Final answer
    x = 209,827.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.