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Finding the Third Proportional to 76,074.19 and 118,416.94

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Solution

The third proportional to 76,074.19 and 118,416.94 is: 184,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074.19 : 118,416.94 = 118,416.94 : x
  2. Step 2: Convert to fraction form
    76,074.19/118,416.94 = 118,416.94/x
  3. Step 3: Cross multiply
    76,074.19x = 118,416.94 × 118,416.94
  4. Step 4: Simplify right side
    76,074.19x = 14,022,571,086.88
  5. Step 5: Solve for x
    x = 14,022,571,086.88/76,074.19
  6. Step 6: Final answer
    x = 184,327.58

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Why These Related Problems?

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