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Finding the Third Proportional to 119,854 and 262,124

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Solution

The third proportional to 119,854 and 262,124 is: 573,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,854 : 262,124 = 262,124 : x
  2. Step 2: Convert to fraction form
    119,854/262,124 = 262,124/x
  3. Step 3: Cross multiply
    119,854x = 262,124 × 262,124
  4. Step 4: Simplify right side
    119,854x = 68,708,991,376
  5. Step 5: Solve for x
    x = 68,708,991,376/119,854
  6. Step 6: Final answer
    x = 573,272.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.