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Finding the Third Proportional to 76,900 and 168,944

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Solution

The third proportional to 76,900 and 168,944 is: 371,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,900 : 168,944 = 168,944 : x
  2. Step 2: Convert to fraction form
    76,900/168,944 = 168,944/x
  3. Step 3: Cross multiply
    76,900x = 168,944 × 168,944
  4. Step 4: Simplify right side
    76,900x = 28,542,075,136
  5. Step 5: Solve for x
    x = 28,542,075,136/76,900
  6. Step 6: Final answer
    x = 371,158.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.