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Finding the Third Proportional to 100,900 and 162,576

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Solution

The third proportional to 100,900 and 162,576 is: 261,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,900 : 162,576 = 162,576 : x
  2. Step 2: Convert to fraction form
    100,900/162,576 = 162,576/x
  3. Step 3: Cross multiply
    100,900x = 162,576 × 162,576
  4. Step 4: Simplify right side
    100,900x = 26,430,955,776
  5. Step 5: Solve for x
    x = 26,430,955,776/100,900
  6. Step 6: Final answer
    x = 261,951.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.