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Finding the Third Proportional to 47,913 and 100,791

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Solution

The third proportional to 47,913 and 100,791 is: 212,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,913 : 100,791 = 100,791 : x
  2. Step 2: Convert to fraction form
    47,913/100,791 = 100,791/x
  3. Step 3: Cross multiply
    47,913x = 100,791 × 100,791
  4. Step 4: Simplify right side
    47,913x = 10,158,825,681
  5. Step 5: Solve for x
    x = 10,158,825,681/47,913
  6. Step 6: Final answer
    x = 212,026.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.