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Finding the Third Proportional to 124,586 and 179,087

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Solution

The third proportional to 124,586 and 179,087 is: 257,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,586 : 179,087 = 179,087 : x
  2. Step 2: Convert to fraction form
    124,586/179,087 = 179,087/x
  3. Step 3: Cross multiply
    124,586x = 179,087 × 179,087
  4. Step 4: Simplify right side
    124,586x = 32,072,153,569
  5. Step 5: Solve for x
    x = 32,072,153,569/124,586
  6. Step 6: Final answer
    x = 257,429.84

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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.