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Finding the Third Proportional to 88,653 and 192,072

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Solution

The third proportional to 88,653 and 192,072 is: 416,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,653 : 192,072 = 192,072 : x
  2. Step 2: Convert to fraction form
    88,653/192,072 = 192,072/x
  3. Step 3: Cross multiply
    88,653x = 192,072 × 192,072
  4. Step 4: Simplify right side
    88,653x = 36,891,653,184
  5. Step 5: Solve for x
    x = 36,891,653,184/88,653
  6. Step 6: Final answer
    x = 416,135.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.