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Finding the Third Proportional to 45,607 and 100,205

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Solution

The third proportional to 45,607 and 100,205 is: 220,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,607 : 100,205 = 100,205 : x
  2. Step 2: Convert to fraction form
    45,607/100,205 = 100,205/x
  3. Step 3: Cross multiply
    45,607x = 100,205 × 100,205
  4. Step 4: Simplify right side
    45,607x = 10,041,042,025
  5. Step 5: Solve for x
    x = 10,041,042,025/45,607
  6. Step 6: Final answer
    x = 220,164.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.