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Finding the Third Proportional to 55,176 and 119,492

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Solution

The third proportional to 55,176 and 119,492 is: 258,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176 : 119,492 = 119,492 : x
  2. Step 2: Convert to fraction form
    55,176/119,492 = 119,492/x
  3. Step 3: Cross multiply
    55,176x = 119,492 × 119,492
  4. Step 4: Simplify right side
    55,176x = 14,278,338,064
  5. Step 5: Solve for x
    x = 14,278,338,064/55,176
  6. Step 6: Final answer
    x = 258,778.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.