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Finding the Third Proportional to 124,600 and 188,196

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Solution

The third proportional to 124,600 and 188,196 is: 284,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,600 : 188,196 = 188,196 : x
  2. Step 2: Convert to fraction form
    124,600/188,196 = 188,196/x
  3. Step 3: Cross multiply
    124,600x = 188,196 × 188,196
  4. Step 4: Simplify right side
    124,600x = 35,417,734,416
  5. Step 5: Solve for x
    x = 35,417,734,416/124,600
  6. Step 6: Final answer
    x = 284,251.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.