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Finding the Third Proportional to 102,251 and 223,090

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Solution

The third proportional to 102,251 and 223,090 is: 486,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,251 : 223,090 = 223,090 : x
  2. Step 2: Convert to fraction form
    102,251/223,090 = 223,090/x
  3. Step 3: Cross multiply
    102,251x = 223,090 × 223,090
  4. Step 4: Simplify right side
    102,251x = 49,769,148,100
  5. Step 5: Solve for x
    x = 49,769,148,100/102,251
  6. Step 6: Final answer
    x = 486,735.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.