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Finding the Third Proportional to 124,517 and 177,906

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Solution

The third proportional to 124,517 and 177,906 is: 254,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,517 : 177,906 = 177,906 : x
  2. Step 2: Convert to fraction form
    124,517/177,906 = 177,906/x
  3. Step 3: Cross multiply
    124,517x = 177,906 × 177,906
  4. Step 4: Simplify right side
    124,517x = 31,650,544,836
  5. Step 5: Solve for x
    x = 31,650,544,836/124,517
  6. Step 6: Final answer
    x = 254,186.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.