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Finding the Third Proportional to 71,670 and 167,361

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Solution

The third proportional to 71,670 and 167,361 is: 390,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,670 : 167,361 = 167,361 : x
  2. Step 2: Convert to fraction form
    71,670/167,361 = 167,361/x
  3. Step 3: Cross multiply
    71,670x = 167,361 × 167,361
  4. Step 4: Simplify right side
    71,670x = 28,009,704,321
  5. Step 5: Solve for x
    x = 28,009,704,321/71,670
  6. Step 6: Final answer
    x = 390,814.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.