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Finding the Third Proportional to 126,584 and 178,092

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Solution

The third proportional to 126,584 and 178,092 is: 250,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,584 : 178,092 = 178,092 : x
  2. Step 2: Convert to fraction form
    126,584/178,092 = 178,092/x
  3. Step 3: Cross multiply
    126,584x = 178,092 × 178,092
  4. Step 4: Simplify right side
    126,584x = 31,716,760,464
  5. Step 5: Solve for x
    x = 31,716,760,464/126,584
  6. Step 6: Final answer
    x = 250,559.00

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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.