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Finding the Third Proportional to 101,465 and 144,220

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Solution

The third proportional to 101,465 and 144,220 is: 204,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,465 : 144,220 = 144,220 : x
  2. Step 2: Convert to fraction form
    101,465/144,220 = 144,220/x
  3. Step 3: Cross multiply
    101,465x = 144,220 × 144,220
  4. Step 4: Simplify right side
    101,465x = 20,799,408,400
  5. Step 5: Solve for x
    x = 20,799,408,400/101,465
  6. Step 6: Final answer
    x = 204,990.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.