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Finding the Third Proportional to 55,542 and 108,316

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Solution

The third proportional to 55,542 and 108,316 is: 211,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,542 : 108,316 = 108,316 : x
  2. Step 2: Convert to fraction form
    55,542/108,316 = 108,316/x
  3. Step 3: Cross multiply
    55,542x = 108,316 × 108,316
  4. Step 4: Simplify right side
    55,542x = 11,732,355,856
  5. Step 5: Solve for x
    x = 11,732,355,856/55,542
  6. Step 6: Final answer
    x = 211,233.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.