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Finding the Third Proportional to 47,269 and 103,124

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Solution

The third proportional to 47,269 and 103,124 is: 224,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269 : 103,124 = 103,124 : x
  2. Step 2: Convert to fraction form
    47,269/103,124 = 103,124/x
  3. Step 3: Cross multiply
    47,269x = 103,124 × 103,124
  4. Step 4: Simplify right side
    47,269x = 10,634,559,376
  5. Step 5: Solve for x
    x = 10,634,559,376/47,269
  6. Step 6: Final answer
    x = 224,979.57

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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.