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Finding the Third Proportional to 55,746 and 119,124

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Solution

The third proportional to 55,746 and 119,124 is: 254,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,746 : 119,124 = 119,124 : x
  2. Step 2: Convert to fraction form
    55,746/119,124 = 119,124/x
  3. Step 3: Cross multiply
    55,746x = 119,124 × 119,124
  4. Step 4: Simplify right side
    55,746x = 14,190,527,376
  5. Step 5: Solve for x
    x = 14,190,527,376/55,746
  6. Step 6: Final answer
    x = 254,556.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.