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Finding the Third Proportional to 73,172 and 161,576

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Solution

The third proportional to 73,172 and 161,576 is: 356,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,172 : 161,576 = 161,576 : x
  2. Step 2: Convert to fraction form
    73,172/161,576 = 161,576/x
  3. Step 3: Cross multiply
    73,172x = 161,576 × 161,576
  4. Step 4: Simplify right side
    73,172x = 26,106,803,776
  5. Step 5: Solve for x
    x = 26,106,803,776/73,172
  6. Step 6: Final answer
    x = 356,786.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.