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Finding the Third Proportional to 63,162 and 133,572

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Solution

The third proportional to 63,162 and 133,572 is: 282,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,162 : 133,572 = 133,572 : x
  2. Step 2: Convert to fraction form
    63,162/133,572 = 133,572/x
  3. Step 3: Cross multiply
    63,162x = 133,572 × 133,572
  4. Step 4: Simplify right side
    63,162x = 17,841,479,184
  5. Step 5: Solve for x
    x = 17,841,479,184/63,162
  6. Step 6: Final answer
    x = 282,471.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.