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Finding the Third Proportional to 74,176 and 113,856

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Solution

The third proportional to 74,176 and 113,856 is: 174,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,176 : 113,856 = 113,856 : x
  2. Step 2: Convert to fraction form
    74,176/113,856 = 113,856/x
  3. Step 3: Cross multiply
    74,176x = 113,856 × 113,856
  4. Step 4: Simplify right side
    74,176x = 12,963,188,736
  5. Step 5: Solve for x
    x = 12,963,188,736/74,176
  6. Step 6: Final answer
    x = 174,762.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.