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Finding the Third Proportional to 103,678 and 160,097

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Solution

The third proportional to 103,678 and 160,097 is: 247,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678 : 160,097 = 160,097 : x
  2. Step 2: Convert to fraction form
    103,678/160,097 = 160,097/x
  3. Step 3: Cross multiply
    103,678x = 160,097 × 160,097
  4. Step 4: Simplify right side
    103,678x = 25,631,049,409
  5. Step 5: Solve for x
    x = 25,631,049,409/103,678
  6. Step 6: Final answer
    x = 247,217.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.