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Finding the Third Proportional to 47,318 and 103,342

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Solution

The third proportional to 47,318 and 103,342 is: 225,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,318 : 103,342 = 103,342 : x
  2. Step 2: Convert to fraction form
    47,318/103,342 = 103,342/x
  3. Step 3: Cross multiply
    47,318x = 103,342 × 103,342
  4. Step 4: Simplify right side
    47,318x = 10,679,568,964
  5. Step 5: Solve for x
    x = 10,679,568,964/47,318
  6. Step 6: Final answer
    x = 225,697.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.