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Finding the Third Proportional to 112,929 and 223,023

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Solution

The third proportional to 112,929 and 223,023 is: 440,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,929 : 223,023 = 223,023 : x
  2. Step 2: Convert to fraction form
    112,929/223,023 = 223,023/x
  3. Step 3: Cross multiply
    112,929x = 223,023 × 223,023
  4. Step 4: Simplify right side
    112,929x = 49,739,258,529
  5. Step 5: Solve for x
    x = 49,739,258,529/112,929
  6. Step 6: Final answer
    x = 440,447.17

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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.