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Finding the Third Proportional to 112,302 and 164,061

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Solution

The third proportional to 112,302 and 164,061 is: 239,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,302 : 164,061 = 164,061 : x
  2. Step 2: Convert to fraction form
    112,302/164,061 = 164,061/x
  3. Step 3: Cross multiply
    112,302x = 164,061 × 164,061
  4. Step 4: Simplify right side
    112,302x = 26,916,011,721
  5. Step 5: Solve for x
    x = 26,916,011,721/112,302
  6. Step 6: Final answer
    x = 239,675.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.