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Finding the Third Proportional to 101,013 and 149,565

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Solution

The third proportional to 101,013 and 149,565 is: 221,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,013 : 149,565 = 149,565 : x
  2. Step 2: Convert to fraction form
    101,013/149,565 = 149,565/x
  3. Step 3: Cross multiply
    101,013x = 149,565 × 149,565
  4. Step 4: Simplify right side
    101,013x = 22,369,689,225
  5. Step 5: Solve for x
    x = 22,369,689,225/101,013
  6. Step 6: Final answer
    x = 221,453.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.