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Finding the Third Proportional to 47,503.50 and 100,371

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Solution

The third proportional to 47,503.50 and 100,371 is: 212,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,503.50 : 100,371 = 100,371 : x
  2. Step 2: Convert to fraction form
    47,503.50/100,371 = 100,371/x
  3. Step 3: Cross multiply
    47,503.50x = 100,371 × 100,371
  4. Step 4: Simplify right side
    47,503.50x = 10,074,337,641
  5. Step 5: Solve for x
    x = 10,074,337,641/47,503.50
  6. Step 6: Final answer
    x = 212,075.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.