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Finding the Third Proportional to 75,242 and 156,789

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Solution

The third proportional to 75,242 and 156,789 is: 326,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242 : 156,789 = 156,789 : x
  2. Step 2: Convert to fraction form
    75,242/156,789 = 156,789/x
  3. Step 3: Cross multiply
    75,242x = 156,789 × 156,789
  4. Step 4: Simplify right side
    75,242x = 24,582,790,521
  5. Step 5: Solve for x
    x = 24,582,790,521/75,242
  6. Step 6: Final answer
    x = 326,716.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.