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Finding the Third Proportional to 76,767 and 167,457

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Solution

The third proportional to 76,767 and 167,457 is: 365,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767 : 167,457 = 167,457 : x
  2. Step 2: Convert to fraction form
    76,767/167,457 = 167,457/x
  3. Step 3: Cross multiply
    76,767x = 167,457 × 167,457
  4. Step 4: Simplify right side
    76,767x = 28,041,846,849
  5. Step 5: Solve for x
    x = 28,041,846,849/76,767
  6. Step 6: Final answer
    x = 365,285.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.