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Finding the Third Proportional to 47,423 and 100,687

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Solution

The third proportional to 47,423 and 100,687 is: 213,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,423 : 100,687 = 100,687 : x
  2. Step 2: Convert to fraction form
    47,423/100,687 = 100,687/x
  3. Step 3: Cross multiply
    47,423x = 100,687 × 100,687
  4. Step 4: Simplify right side
    47,423x = 10,137,871,969
  5. Step 5: Solve for x
    x = 10,137,871,969/47,423
  6. Step 6: Final answer
    x = 213,775.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.