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Finding the Third Proportional to 103,954 and 215,038

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Solution

The third proportional to 103,954 and 215,038 is: 444,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,954 : 215,038 = 215,038 : x
  2. Step 2: Convert to fraction form
    103,954/215,038 = 215,038/x
  3. Step 3: Cross multiply
    103,954x = 215,038 × 215,038
  4. Step 4: Simplify right side
    103,954x = 46,241,341,444
  5. Step 5: Solve for x
    x = 46,241,341,444/103,954
  6. Step 6: Final answer
    x = 444,825.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.