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Finding the Third Proportional to 88,038 and 183,372

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Solution

The third proportional to 88,038 and 183,372 is: 381,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,038 : 183,372 = 183,372 : x
  2. Step 2: Convert to fraction form
    88,038/183,372 = 183,372/x
  3. Step 3: Cross multiply
    88,038x = 183,372 × 183,372
  4. Step 4: Simplify right side
    88,038x = 33,625,290,384
  5. Step 5: Solve for x
    x = 33,625,290,384/88,038
  6. Step 6: Final answer
    x = 381,940.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.