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Finding the Third Proportional to 74,634 and 118,176

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Solution

The third proportional to 74,634 and 118,176 is: 187,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,634 : 118,176 = 118,176 : x
  2. Step 2: Convert to fraction form
    74,634/118,176 = 118,176/x
  3. Step 3: Cross multiply
    74,634x = 118,176 × 118,176
  4. Step 4: Simplify right side
    74,634x = 13,965,566,976
  5. Step 5: Solve for x
    x = 13,965,566,976/74,634
  6. Step 6: Final answer
    x = 187,120.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.