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Finding the Third Proportional to 74,131 and 114,666

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Solution

The third proportional to 74,131 and 114,666 is: 177,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,131 : 114,666 = 114,666 : x
  2. Step 2: Convert to fraction form
    74,131/114,666 = 114,666/x
  3. Step 3: Cross multiply
    74,131x = 114,666 × 114,666
  4. Step 4: Simplify right side
    74,131x = 13,148,291,556
  5. Step 5: Solve for x
    x = 13,148,291,556/74,131
  6. Step 6: Final answer
    x = 177,365.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.