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Finding the Third Proportional to 76,604 and 118,916

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Solution

The third proportional to 76,604 and 118,916 is: 184,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,604 : 118,916 = 118,916 : x
  2. Step 2: Convert to fraction form
    76,604/118,916 = 118,916/x
  3. Step 3: Cross multiply
    76,604x = 118,916 × 118,916
  4. Step 4: Simplify right side
    76,604x = 14,141,015,056
  5. Step 5: Solve for x
    x = 14,141,015,056/76,604
  6. Step 6: Final answer
    x = 184,598.91

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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.