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Finding the Third Proportional to 120,747 and 191,475

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Solution

The third proportional to 120,747 and 191,475 is: 303,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,747 : 191,475 = 191,475 : x
  2. Step 2: Convert to fraction form
    120,747/191,475 = 191,475/x
  3. Step 3: Cross multiply
    120,747x = 191,475 × 191,475
  4. Step 4: Simplify right side
    120,747x = 36,662,675,625
  5. Step 5: Solve for x
    x = 36,662,675,625/120,747
  6. Step 6: Final answer
    x = 303,632.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.