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Finding the Third Proportional to 112,635 and 243,859

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Solution

The third proportional to 112,635 and 243,859 is: 527,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,635 : 243,859 = 243,859 : x
  2. Step 2: Convert to fraction form
    112,635/243,859 = 243,859/x
  3. Step 3: Cross multiply
    112,635x = 243,859 × 243,859
  4. Step 4: Simplify right side
    112,635x = 59,467,211,881
  5. Step 5: Solve for x
    x = 59,467,211,881/112,635
  6. Step 6: Final answer
    x = 527,963.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.