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Finding the Third Proportional to 96,126 and 210,766

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Solution

The third proportional to 96,126 and 210,766 is: 462,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,126 : 210,766 = 210,766 : x
  2. Step 2: Convert to fraction form
    96,126/210,766 = 210,766/x
  3. Step 3: Cross multiply
    96,126x = 210,766 × 210,766
  4. Step 4: Simplify right side
    96,126x = 44,422,306,756
  5. Step 5: Solve for x
    x = 44,422,306,756/96,126
  6. Step 6: Final answer
    x = 462,125.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.