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Finding the Third Proportional to 112,026 and 177,474

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Solution

The third proportional to 112,026 and 177,474 is: 281,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,026 : 177,474 = 177,474 : x
  2. Step 2: Convert to fraction form
    112,026/177,474 = 177,474/x
  3. Step 3: Cross multiply
    112,026x = 177,474 × 177,474
  4. Step 4: Simplify right side
    112,026x = 31,497,020,676
  5. Step 5: Solve for x
    x = 31,497,020,676/112,026
  6. Step 6: Final answer
    x = 281,158.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.