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Finding the Third Proportional to 124,696 and 188,356

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Solution

The third proportional to 124,696 and 188,356 is: 284,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,696 : 188,356 = 188,356 : x
  2. Step 2: Convert to fraction form
    124,696/188,356 = 188,356/x
  3. Step 3: Cross multiply
    124,696x = 188,356 × 188,356
  4. Step 4: Simplify right side
    124,696x = 35,477,982,736
  5. Step 5: Solve for x
    x = 35,477,982,736/124,696
  6. Step 6: Final answer
    x = 284,515.80

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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.