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Finding the Third Proportional to 47,158.50 and 95,685

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Solution

The third proportional to 47,158.50 and 95,685 is: 194,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,158.50 : 95,685 = 95,685 : x
  2. Step 2: Convert to fraction form
    47,158.50/95,685 = 95,685/x
  3. Step 3: Cross multiply
    47,158.50x = 95,685 × 95,685
  4. Step 4: Simplify right side
    47,158.50x = 9,155,619,225
  5. Step 5: Solve for x
    x = 9,155,619,225/47,158.50
  6. Step 6: Final answer
    x = 194,145.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.