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Finding the Third Proportional to 76,630 and 118,954

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Solution

The third proportional to 76,630 and 118,954 is: 184,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,630 : 118,954 = 118,954 : x
  2. Step 2: Convert to fraction form
    76,630/118,954 = 118,954/x
  3. Step 3: Cross multiply
    76,630x = 118,954 × 118,954
  4. Step 4: Simplify right side
    76,630x = 14,150,054,116
  5. Step 5: Solve for x
    x = 14,150,054,116/76,630
  6. Step 6: Final answer
    x = 184,654.24

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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.