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Finding the Third Proportional to 112,147 and 236,929

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Solution

The third proportional to 112,147 and 236,929 is: 500,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,147 : 236,929 = 236,929 : x
  2. Step 2: Convert to fraction form
    112,147/236,929 = 236,929/x
  3. Step 3: Cross multiply
    112,147x = 236,929 × 236,929
  4. Step 4: Simplify right side
    112,147x = 56,135,351,041
  5. Step 5: Solve for x
    x = 56,135,351,041/112,147
  6. Step 6: Final answer
    x = 500,551.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.