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Finding the Third Proportional to 124,485 and 178,951

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Solution

The third proportional to 124,485 and 178,951 is: 257,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,485 : 178,951 = 178,951 : x
  2. Step 2: Convert to fraction form
    124,485/178,951 = 178,951/x
  3. Step 3: Cross multiply
    124,485x = 178,951 × 178,951
  4. Step 4: Simplify right side
    124,485x = 32,023,460,401
  5. Step 5: Solve for x
    x = 32,023,460,401/124,485
  6. Step 6: Final answer
    x = 257,247.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.