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Finding the Third Proportional to 112,091 and 241,889

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Solution

The third proportional to 112,091 and 241,889 is: 521,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,091 : 241,889 = 241,889 : x
  2. Step 2: Convert to fraction form
    112,091/241,889 = 241,889/x
  3. Step 3: Cross multiply
    112,091x = 241,889 × 241,889
  4. Step 4: Simplify right side
    112,091x = 58,510,288,321
  5. Step 5: Solve for x
    x = 58,510,288,321/112,091
  6. Step 6: Final answer
    x = 521,989.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.