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Finding the Third Proportional to 55,116 and 119,398

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Solution

The third proportional to 55,116 and 119,398 is: 258,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116 : 119,398 = 119,398 : x
  2. Step 2: Convert to fraction form
    55,116/119,398 = 119,398/x
  3. Step 3: Cross multiply
    55,116x = 119,398 × 119,398
  4. Step 4: Simplify right side
    55,116x = 14,255,882,404
  5. Step 5: Solve for x
    x = 14,255,882,404/55,116
  6. Step 6: Final answer
    x = 258,652.34

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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.