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Finding the Third Proportional to 76,612 and 118,903

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Solution

The third proportional to 76,612 and 118,903 is: 184,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,612 : 118,903 = 118,903 : x
  2. Step 2: Convert to fraction form
    76,612/118,903 = 118,903/x
  3. Step 3: Cross multiply
    76,612x = 118,903 × 118,903
  4. Step 4: Simplify right side
    76,612x = 14,137,923,409
  5. Step 5: Solve for x
    x = 14,137,923,409/76,612
  6. Step 6: Final answer
    x = 184,539.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.