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Finding the Third Proportional to 76,374 and 167,436

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Solution

The third proportional to 76,374 and 167,436 is: 367,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374 : 167,436 = 167,436 : x
  2. Step 2: Convert to fraction form
    76,374/167,436 = 167,436/x
  3. Step 3: Cross multiply
    76,374x = 167,436 × 167,436
  4. Step 4: Simplify right side
    76,374x = 28,034,814,096
  5. Step 5: Solve for x
    x = 28,034,814,096/76,374
  6. Step 6: Final answer
    x = 367,072.75

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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.