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Finding the Third Proportional to 44,504 and 103,484

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Solution

The third proportional to 44,504 and 103,484 is: 240,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,504 : 103,484 = 103,484 : x
  2. Step 2: Convert to fraction form
    44,504/103,484 = 103,484/x
  3. Step 3: Cross multiply
    44,504x = 103,484 × 103,484
  4. Step 4: Simplify right side
    44,504x = 10,708,938,256
  5. Step 5: Solve for x
    x = 10,708,938,256/44,504
  6. Step 6: Final answer
    x = 240,628.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.