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Finding the Third Proportional to 119,124 and 248,050

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Solution

The third proportional to 119,124 and 248,050 is: 516,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,124 : 248,050 = 248,050 : x
  2. Step 2: Convert to fraction form
    119,124/248,050 = 248,050/x
  3. Step 3: Cross multiply
    119,124x = 248,050 × 248,050
  4. Step 4: Simplify right side
    119,124x = 61,528,802,500
  5. Step 5: Solve for x
    x = 61,528,802,500/119,124
  6. Step 6: Final answer
    x = 516,510.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.