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Finding the Third Proportional to 104,274 and 172,584

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Solution

The third proportional to 104,274 and 172,584 is: 285,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,274 : 172,584 = 172,584 : x
  2. Step 2: Convert to fraction form
    104,274/172,584 = 172,584/x
  3. Step 3: Cross multiply
    104,274x = 172,584 × 172,584
  4. Step 4: Simplify right side
    104,274x = 29,785,237,056
  5. Step 5: Solve for x
    x = 29,785,237,056/104,274
  6. Step 6: Final answer
    x = 285,643.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.