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Finding the Third Proportional to 81,744 and 174,576

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Solution

The third proportional to 81,744 and 174,576 is: 372,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,744 : 174,576 = 174,576 : x
  2. Step 2: Convert to fraction form
    81,744/174,576 = 174,576/x
  3. Step 3: Cross multiply
    81,744x = 174,576 × 174,576
  4. Step 4: Simplify right side
    81,744x = 30,476,779,776
  5. Step 5: Solve for x
    x = 30,476,779,776/81,744
  6. Step 6: Final answer
    x = 372,832.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.