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Finding the Third Proportional to 102,849 and 158,935

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Solution

The third proportional to 102,849 and 158,935 is: 245,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,849 : 158,935 = 158,935 : x
  2. Step 2: Convert to fraction form
    102,849/158,935 = 158,935/x
  3. Step 3: Cross multiply
    102,849x = 158,935 × 158,935
  4. Step 4: Simplify right side
    102,849x = 25,260,334,225
  5. Step 5: Solve for x
    x = 25,260,334,225/102,849
  6. Step 6: Final answer
    x = 245,606.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.