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Finding the Third Proportional to 101,634 and 153,201

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Solution

The third proportional to 101,634 and 153,201 is: 230,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,634 : 153,201 = 153,201 : x
  2. Step 2: Convert to fraction form
    101,634/153,201 = 153,201/x
  3. Step 3: Cross multiply
    101,634x = 153,201 × 153,201
  4. Step 4: Simplify right side
    101,634x = 23,470,546,401
  5. Step 5: Solve for x
    x = 23,470,546,401/101,634
  6. Step 6: Final answer
    x = 230,932.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.