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Finding the Third Proportional to 101,385 and 149,022

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Solution

The third proportional to 101,385 and 149,022 is: 219,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,385 : 149,022 = 149,022 : x
  2. Step 2: Convert to fraction form
    101,385/149,022 = 149,022/x
  3. Step 3: Cross multiply
    101,385x = 149,022 × 149,022
  4. Step 4: Simplify right side
    101,385x = 22,207,556,484
  5. Step 5: Solve for x
    x = 22,207,556,484/101,385
  6. Step 6: Final answer
    x = 219,041.84

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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.