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Finding the Third Proportional to 75,911 and 120,650

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Solution

The third proportional to 75,911 and 120,650 is: 191,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,911 : 120,650 = 120,650 : x
  2. Step 2: Convert to fraction form
    75,911/120,650 = 120,650/x
  3. Step 3: Cross multiply
    75,911x = 120,650 × 120,650
  4. Step 4: Simplify right side
    75,911x = 14,556,422,500
  5. Step 5: Solve for x
    x = 14,556,422,500/75,911
  6. Step 6: Final answer
    x = 191,756.43

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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.