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Finding the Third Proportional to 101,325 and 148,077

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Solution

The third proportional to 101,325 and 148,077 is: 216,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,325 : 148,077 = 148,077 : x
  2. Step 2: Convert to fraction form
    101,325/148,077 = 148,077/x
  3. Step 3: Cross multiply
    101,325x = 148,077 × 148,077
  4. Step 4: Simplify right side
    101,325x = 21,926,797,929
  5. Step 5: Solve for x
    x = 21,926,797,929/101,325
  6. Step 6: Final answer
    x = 216,400.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.