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Finding the Third Proportional to 171,127.50 and 227,106

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Solution

The third proportional to 171,127.50 and 227,106 is: 301,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,127.50 : 227,106 = 227,106 : x
  2. Step 2: Convert to fraction form
    171,127.50/227,106 = 227,106/x
  3. Step 3: Cross multiply
    171,127.50x = 227,106 × 227,106
  4. Step 4: Simplify right side
    171,127.50x = 51,577,135,236
  5. Step 5: Solve for x
    x = 51,577,135,236/171,127.50
  6. Step 6: Final answer
    x = 301,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.