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Finding the Third Proportional to 103,641 and 215,073

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Solution

The third proportional to 103,641 and 215,073 is: 446,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,641 : 215,073 = 215,073 : x
  2. Step 2: Convert to fraction form
    103,641/215,073 = 215,073/x
  3. Step 3: Cross multiply
    103,641x = 215,073 × 215,073
  4. Step 4: Simplify right side
    103,641x = 46,256,395,329
  5. Step 5: Solve for x
    x = 46,256,395,329/103,641
  6. Step 6: Final answer
    x = 446,313.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.