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Finding the Third Proportional to 74,147.91 and 114,908.63

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Solution

The third proportional to 74,147.91 and 114,908.63 is: 178,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147.91 : 114,908.63 = 114,908.63 : x
  2. Step 2: Convert to fraction form
    74,147.91/114,908.63 = 114,908.63/x
  3. Step 3: Cross multiply
    74,147.91x = 114,908.63 × 114,908.63
  4. Step 4: Simplify right side
    74,147.91x = 13,203,992,099.39
  5. Step 5: Solve for x
    x = 13,203,992,099.39/74,147.91
  6. Step 6: Final answer
    x = 178,076.40

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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.