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Finding the Third Proportional to 47,533 and 103,343

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Solution

The third proportional to 47,533 and 103,343 is: 224,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,533 : 103,343 = 103,343 : x
  2. Step 2: Convert to fraction form
    47,533/103,343 = 103,343/x
  3. Step 3: Cross multiply
    47,533x = 103,343 × 103,343
  4. Step 4: Simplify right side
    47,533x = 10,679,775,649
  5. Step 5: Solve for x
    x = 10,679,775,649/47,533
  6. Step 6: Final answer
    x = 224,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.