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Finding the Third Proportional to 104,590 and 160,026

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Solution

The third proportional to 104,590 and 160,026 is: 244,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,590 : 160,026 = 160,026 : x
  2. Step 2: Convert to fraction form
    104,590/160,026 = 160,026/x
  3. Step 3: Cross multiply
    104,590x = 160,026 × 160,026
  4. Step 4: Simplify right side
    104,590x = 25,608,320,676
  5. Step 5: Solve for x
    x = 25,608,320,676/104,590
  6. Step 6: Final answer
    x = 244,844.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.