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Finding the Third Proportional to 47,237 and 102,083

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Solution

The third proportional to 47,237 and 102,083 is: 220,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,237 : 102,083 = 102,083 : x
  2. Step 2: Convert to fraction form
    47,237/102,083 = 102,083/x
  3. Step 3: Cross multiply
    47,237x = 102,083 × 102,083
  4. Step 4: Simplify right side
    47,237x = 10,420,938,889
  5. Step 5: Solve for x
    x = 10,420,938,889/47,237
  6. Step 6: Final answer
    x = 220,609.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.