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Finding the Third Proportional to 76,143 and 167,094

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Solution

The third proportional to 76,143 and 167,094 is: 366,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,143 : 167,094 = 167,094 : x
  2. Step 2: Convert to fraction form
    76,143/167,094 = 167,094/x
  3. Step 3: Cross multiply
    76,143x = 167,094 × 167,094
  4. Step 4: Simplify right side
    76,143x = 27,920,404,836
  5. Step 5: Solve for x
    x = 27,920,404,836/76,143
  6. Step 6: Final answer
    x = 366,683.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.