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Finding the Third Proportional to 74,176 and 173,728

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Solution

The third proportional to 74,176 and 173,728 is: 406,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,176 : 173,728 = 173,728 : x
  2. Step 2: Convert to fraction form
    74,176/173,728 = 173,728/x
  3. Step 3: Cross multiply
    74,176x = 173,728 × 173,728
  4. Step 4: Simplify right side
    74,176x = 30,181,417,984
  5. Step 5: Solve for x
    x = 30,181,417,984/74,176
  6. Step 6: Final answer
    x = 406,889.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.