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Finding the Third Proportional to 69,108 and 145,179

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Solution

The third proportional to 69,108 and 145,179 is: 304,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,108 : 145,179 = 145,179 : x
  2. Step 2: Convert to fraction form
    69,108/145,179 = 145,179/x
  3. Step 3: Cross multiply
    69,108x = 145,179 × 145,179
  4. Step 4: Simplify right side
    69,108x = 21,076,942,041
  5. Step 5: Solve for x
    x = 21,076,942,041/69,108
  6. Step 6: Final answer
    x = 304,985.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.