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Finding the Third Proportional to 45,038 and 67,173

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Solution

The third proportional to 45,038 and 67,173 is: 100,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038 : 67,173 = 67,173 : x
  2. Step 2: Convert to fraction form
    45,038/67,173 = 67,173/x
  3. Step 3: Cross multiply
    45,038x = 67,173 × 67,173
  4. Step 4: Simplify right side
    45,038x = 4,512,211,929
  5. Step 5: Solve for x
    x = 4,512,211,929/45,038
  6. Step 6: Final answer
    x = 100,186.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.