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Finding the Third Proportional to 74,627 and 118,166

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Solution

The third proportional to 74,627 and 118,166 is: 187,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,627 : 118,166 = 118,166 : x
  2. Step 2: Convert to fraction form
    74,627/118,166 = 118,166/x
  3. Step 3: Cross multiply
    74,627x = 118,166 × 118,166
  4. Step 4: Simplify right side
    74,627x = 13,963,203,556
  5. Step 5: Solve for x
    x = 13,963,203,556/74,627
  6. Step 6: Final answer
    x = 187,106.59

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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.