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Finding the Third Proportional to 76,084 and 117,094

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Solution

The third proportional to 76,084 and 117,094 is: 180,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,084 : 117,094 = 117,094 : x
  2. Step 2: Convert to fraction form
    76,084/117,094 = 117,094/x
  3. Step 3: Cross multiply
    76,084x = 117,094 × 117,094
  4. Step 4: Simplify right side
    76,084x = 13,711,004,836
  5. Step 5: Solve for x
    x = 13,711,004,836/76,084
  6. Step 6: Final answer
    x = 180,208.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.