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Finding the Third Proportional to 102,124 and 223,184

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Solution

The third proportional to 102,124 and 223,184 is: 487,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124 : 223,184 = 223,184 : x
  2. Step 2: Convert to fraction form
    102,124/223,184 = 223,184/x
  3. Step 3: Cross multiply
    102,124x = 223,184 × 223,184
  4. Step 4: Simplify right side
    102,124x = 49,811,097,856
  5. Step 5: Solve for x
    x = 49,811,097,856/102,124
  6. Step 6: Final answer
    x = 487,751.14

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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.