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Finding the Third Proportional to 50,206 and 104,572

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Solution

The third proportional to 50,206 and 104,572 is: 217,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206 : 104,572 = 104,572 : x
  2. Step 2: Convert to fraction form
    50,206/104,572 = 104,572/x
  3. Step 3: Cross multiply
    50,206x = 104,572 × 104,572
  4. Step 4: Simplify right side
    50,206x = 10,935,303,184
  5. Step 5: Solve for x
    x = 10,935,303,184/50,206
  6. Step 6: Final answer
    x = 217,808.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.