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Finding the Third Proportional to 34,725 and 72,177

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Solution

The third proportional to 34,725 and 72,177 is: 150,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,725 : 72,177 = 72,177 : x
  2. Step 2: Convert to fraction form
    34,725/72,177 = 72,177/x
  3. Step 3: Cross multiply
    34,725x = 72,177 × 72,177
  4. Step 4: Simplify right side
    34,725x = 5,209,519,329
  5. Step 5: Solve for x
    x = 5,209,519,329/34,725
  6. Step 6: Final answer
    x = 150,022.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.