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Finding the Third Proportional to 113,137 and 223,417

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Solution

The third proportional to 113,137 and 223,417 is: 441,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,137 : 223,417 = 223,417 : x
  2. Step 2: Convert to fraction form
    113,137/223,417 = 223,417/x
  3. Step 3: Cross multiply
    113,137x = 223,417 × 223,417
  4. Step 4: Simplify right side
    113,137x = 49,915,155,889
  5. Step 5: Solve for x
    x = 49,915,155,889/113,137
  6. Step 6: Final answer
    x = 441,192.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.