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Finding the Third Proportional to 101,602 and 220,154

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Solution

The third proportional to 101,602 and 220,154 is: 477,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602 : 220,154 = 220,154 : x
  2. Step 2: Convert to fraction form
    101,602/220,154 = 220,154/x
  3. Step 3: Cross multiply
    101,602x = 220,154 × 220,154
  4. Step 4: Simplify right side
    101,602x = 48,467,783,716
  5. Step 5: Solve for x
    x = 48,467,783,716/101,602
  6. Step 6: Final answer
    x = 477,035.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.