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Finding the Third Proportional to 76,002 and 118,308

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Solution

The third proportional to 76,002 and 118,308 is: 184,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,002 : 118,308 = 118,308 : x
  2. Step 2: Convert to fraction form
    76,002/118,308 = 118,308/x
  3. Step 3: Cross multiply
    76,002x = 118,308 × 118,308
  4. Step 4: Simplify right side
    76,002x = 13,996,782,864
  5. Step 5: Solve for x
    x = 13,996,782,864/76,002
  6. Step 6: Final answer
    x = 184,163.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.