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Finding the Third Proportional to 124,286 and 175,696

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Solution

The third proportional to 124,286 and 175,696 is: 248,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,286 : 175,696 = 175,696 : x
  2. Step 2: Convert to fraction form
    124,286/175,696 = 175,696/x
  3. Step 3: Cross multiply
    124,286x = 175,696 × 175,696
  4. Step 4: Simplify right side
    124,286x = 30,869,084,416
  5. Step 5: Solve for x
    x = 30,869,084,416/124,286
  6. Step 6: Final answer
    x = 248,371.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.