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Finding the Third Proportional to 104,475 and 188,214

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Solution

The third proportional to 104,475 and 188,214 is: 339,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,475 : 188,214 = 188,214 : x
  2. Step 2: Convert to fraction form
    104,475/188,214 = 188,214/x
  3. Step 3: Cross multiply
    104,475x = 188,214 × 188,214
  4. Step 4: Simplify right side
    104,475x = 35,424,509,796
  5. Step 5: Solve for x
    x = 35,424,509,796/104,475
  6. Step 6: Final answer
    x = 339,071.64

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.