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Finding the Third Proportional to 47,345 and 103,165

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Solution

The third proportional to 47,345 and 103,165 is: 224,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,345 : 103,165 = 103,165 : x
  2. Step 2: Convert to fraction form
    47,345/103,165 = 103,165/x
  3. Step 3: Cross multiply
    47,345x = 103,165 × 103,165
  4. Step 4: Simplify right side
    47,345x = 10,643,017,225
  5. Step 5: Solve for x
    x = 10,643,017,225/47,345
  6. Step 6: Final answer
    x = 224,797.07

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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.