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Finding the Third Proportional to 47,050 and 100,539

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Solution

The third proportional to 47,050 and 100,539 is: 214,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050 : 100,539 = 100,539 : x
  2. Step 2: Convert to fraction form
    47,050/100,539 = 100,539/x
  3. Step 3: Cross multiply
    47,050x = 100,539 × 100,539
  4. Step 4: Simplify right side
    47,050x = 10,108,090,521
  5. Step 5: Solve for x
    x = 10,108,090,521/47,050
  6. Step 6: Final answer
    x = 214,837.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.