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Finding the Third Proportional to 96,490.75 and 137,856

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Solution

The third proportional to 96,490.75 and 137,856 is: 196,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,490.75 : 137,856 = 137,856 : x
  2. Step 2: Convert to fraction form
    96,490.75/137,856 = 137,856/x
  3. Step 3: Cross multiply
    96,490.75x = 137,856 × 137,856
  4. Step 4: Simplify right side
    96,490.75x = 19,004,276,736
  5. Step 5: Solve for x
    x = 19,004,276,736/96,490.75
  6. Step 6: Final answer
    x = 196,954.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.