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Finding the Third Proportional to 94,741 and 136,873.50

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Solution

The third proportional to 94,741 and 136,873.50 is: 197,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,741 : 136,873.50 = 136,873.50 : x
  2. Step 2: Convert to fraction form
    94,741/136,873.50 = 136,873.50/x
  3. Step 3: Cross multiply
    94,741x = 136,873.50 × 136,873.50
  4. Step 4: Simplify right side
    94,741x = 18,734,355,002.25
  5. Step 5: Solve for x
    x = 18,734,355,002.25/94,741
  6. Step 6: Final answer
    x = 197,742.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.