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Finding the Third Proportional to 124,950 and 178,554

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Solution

The third proportional to 124,950 and 178,554 is: 255,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,950 : 178,554 = 178,554 : x
  2. Step 2: Convert to fraction form
    124,950/178,554 = 178,554/x
  3. Step 3: Cross multiply
    124,950x = 178,554 × 178,554
  4. Step 4: Simplify right side
    124,950x = 31,881,530,916
  5. Step 5: Solve for x
    x = 31,881,530,916/124,950
  6. Step 6: Final answer
    x = 255,154.31

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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.