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Finding the Third Proportional to 103,556 and 150,310

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Solution

The third proportional to 103,556 and 150,310 is: 218,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,556 : 150,310 = 150,310 : x
  2. Step 2: Convert to fraction form
    103,556/150,310 = 150,310/x
  3. Step 3: Cross multiply
    103,556x = 150,310 × 150,310
  4. Step 4: Simplify right side
    103,556x = 22,593,096,100
  5. Step 5: Solve for x
    x = 22,593,096,100/103,556
  6. Step 6: Final answer
    x = 218,172.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.