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Finding the Third Proportional to 95,697 and 136,984.50

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Solution

The third proportional to 95,697 and 136,984.50 is: 196,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,697 : 136,984.50 = 136,984.50 : x
  2. Step 2: Convert to fraction form
    95,697/136,984.50 = 136,984.50/x
  3. Step 3: Cross multiply
    95,697x = 136,984.50 × 136,984.50
  4. Step 4: Simplify right side
    95,697x = 18,764,753,240.25
  5. Step 5: Solve for x
    x = 18,764,753,240.25/95,697
  6. Step 6: Final answer
    x = 196,085.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.