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Finding the Third Proportional to 91,600 and 143,576

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Solution

The third proportional to 91,600 and 143,576 is: 225,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,600 : 143,576 = 143,576 : x
  2. Step 2: Convert to fraction form
    91,600/143,576 = 143,576/x
  3. Step 3: Cross multiply
    91,600x = 143,576 × 143,576
  4. Step 4: Simplify right side
    91,600x = 20,614,067,776
  5. Step 5: Solve for x
    x = 20,614,067,776/91,600
  6. Step 6: Final answer
    x = 225,044.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.