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Finding the Third Proportional to 102,454 and 158,225

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Solution

The third proportional to 102,454 and 158,225 is: 244,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,454 : 158,225 = 158,225 : x
  2. Step 2: Convert to fraction form
    102,454/158,225 = 158,225/x
  3. Step 3: Cross multiply
    102,454x = 158,225 × 158,225
  4. Step 4: Simplify right side
    102,454x = 25,035,150,625
  5. Step 5: Solve for x
    x = 25,035,150,625/102,454
  6. Step 6: Final answer
    x = 244,355.03

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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.