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Finding the Third Proportional to 75,326 and 110,684

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Solution

The third proportional to 75,326 and 110,684 is: 162,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,326 : 110,684 = 110,684 : x
  2. Step 2: Convert to fraction form
    75,326/110,684 = 110,684/x
  3. Step 3: Cross multiply
    75,326x = 110,684 × 110,684
  4. Step 4: Simplify right side
    75,326x = 12,250,947,856
  5. Step 5: Solve for x
    x = 12,250,947,856/75,326
  6. Step 6: Final answer
    x = 162,639.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.