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Finding the Third Proportional to 47,240 and 103,264

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Solution

The third proportional to 47,240 and 103,264 is: 225,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,240 : 103,264 = 103,264 : x
  2. Step 2: Convert to fraction form
    47,240/103,264 = 103,264/x
  3. Step 3: Cross multiply
    47,240x = 103,264 × 103,264
  4. Step 4: Simplify right side
    47,240x = 10,663,453,696
  5. Step 5: Solve for x
    x = 10,663,453,696/47,240
  6. Step 6: Final answer
    x = 225,729.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.