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Finding the Third Proportional to 102,001 and 149,890

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Solution

The third proportional to 102,001 and 149,890 is: 220,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001 : 149,890 = 149,890 : x
  2. Step 2: Convert to fraction form
    102,001/149,890 = 149,890/x
  3. Step 3: Cross multiply
    102,001x = 149,890 × 149,890
  4. Step 4: Simplify right side
    102,001x = 22,467,012,100
  5. Step 5: Solve for x
    x = 22,467,012,100/102,001
  6. Step 6: Final answer
    x = 220,262.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.