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Finding the Third Proportional to 124,974 and 178,586

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Solution

The third proportional to 124,974 and 178,586 is: 255,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,974 : 178,586 = 178,586 : x
  2. Step 2: Convert to fraction form
    124,974/178,586 = 178,586/x
  3. Step 3: Cross multiply
    124,974x = 178,586 × 178,586
  4. Step 4: Simplify right side
    124,974x = 31,892,959,396
  5. Step 5: Solve for x
    x = 31,892,959,396/124,974
  6. Step 6: Final answer
    x = 255,196.76

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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.