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Finding the Third Proportional to 72,166 and 167,068

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Solution

The third proportional to 72,166 and 167,068 is: 386,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,166 : 167,068 = 167,068 : x
  2. Step 2: Convert to fraction form
    72,166/167,068 = 167,068/x
  3. Step 3: Cross multiply
    72,166x = 167,068 × 167,068
  4. Step 4: Simplify right side
    72,166x = 27,911,716,624
  5. Step 5: Solve for x
    x = 27,911,716,624/72,166
  6. Step 6: Final answer
    x = 386,771.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.