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Finding the Third Proportional to 74,074.50 and 114,873

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Solution

The third proportional to 74,074.50 and 114,873 is: 178,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074.50 : 114,873 = 114,873 : x
  2. Step 2: Convert to fraction form
    74,074.50/114,873 = 114,873/x
  3. Step 3: Cross multiply
    74,074.50x = 114,873 × 114,873
  4. Step 4: Simplify right side
    74,074.50x = 13,195,806,129
  5. Step 5: Solve for x
    x = 13,195,806,129/74,074.50
  6. Step 6: Final answer
    x = 178,142.36

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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.