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Finding the Third Proportional to 101,760 and 149,697

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Solution

The third proportional to 101,760 and 149,697 is: 220,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760 : 149,697 = 149,697 : x
  2. Step 2: Convert to fraction form
    101,760/149,697 = 149,697/x
  3. Step 3: Cross multiply
    101,760x = 149,697 × 149,697
  4. Step 4: Simplify right side
    101,760x = 22,409,191,809
  5. Step 5: Solve for x
    x = 22,409,191,809/101,760
  6. Step 6: Final answer
    x = 220,216.11

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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.