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Finding the Third Proportional to 103,639 and 223,133

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Solution

The third proportional to 103,639 and 223,133 is: 480,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 223,133 = 223,133 : x
  2. Step 2: Convert to fraction form
    103,639/223,133 = 223,133/x
  3. Step 3: Cross multiply
    103,639x = 223,133 × 223,133
  4. Step 4: Simplify right side
    103,639x = 49,788,335,689
  5. Step 5: Solve for x
    x = 49,788,335,689/103,639
  6. Step 6: Final answer
    x = 480,401.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.