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Finding the Third Proportional to 76,903 and 120,395

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Solution

The third proportional to 76,903 and 120,395 is: 188,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,903 : 120,395 = 120,395 : x
  2. Step 2: Convert to fraction form
    76,903/120,395 = 120,395/x
  3. Step 3: Cross multiply
    76,903x = 120,395 × 120,395
  4. Step 4: Simplify right side
    76,903x = 14,494,956,025
  5. Step 5: Solve for x
    x = 14,494,956,025/76,903
  6. Step 6: Final answer
    x = 188,483.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.