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Finding the Third Proportional to 73,326 and 114,371

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Solution

The third proportional to 73,326 and 114,371 is: 178,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,326 : 114,371 = 114,371 : x
  2. Step 2: Convert to fraction form
    73,326/114,371 = 114,371/x
  3. Step 3: Cross multiply
    73,326x = 114,371 × 114,371
  4. Step 4: Simplify right side
    73,326x = 13,080,725,641
  5. Step 5: Solve for x
    x = 13,080,725,641/73,326
  6. Step 6: Final answer
    x = 178,391.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.