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Finding the Third Proportional to 98,064 and 150,255

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Solution

The third proportional to 98,064 and 150,255 is: 230,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064 : 150,255 = 150,255 : x
  2. Step 2: Convert to fraction form
    98,064/150,255 = 150,255/x
  3. Step 3: Cross multiply
    98,064x = 150,255 × 150,255
  4. Step 4: Simplify right side
    98,064x = 22,576,565,025
  5. Step 5: Solve for x
    x = 22,576,565,025/98,064
  6. Step 6: Final answer
    x = 230,222.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.