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Finding the Third Proportional to 96,856 and 149,576

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Solution

The third proportional to 96,856 and 149,576 is: 230,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,856 : 149,576 = 149,576 : x
  2. Step 2: Convert to fraction form
    96,856/149,576 = 149,576/x
  3. Step 3: Cross multiply
    96,856x = 149,576 × 149,576
  4. Step 4: Simplify right side
    96,856x = 22,372,979,776
  5. Step 5: Solve for x
    x = 22,372,979,776/96,856
  6. Step 6: Final answer
    x = 230,992.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.