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Finding the Third Proportional to 88,680 and 181,503

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Solution

The third proportional to 88,680 and 181,503 is: 371,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,680 : 181,503 = 181,503 : x
  2. Step 2: Convert to fraction form
    88,680/181,503 = 181,503/x
  3. Step 3: Cross multiply
    88,680x = 181,503 × 181,503
  4. Step 4: Simplify right side
    88,680x = 32,943,339,009
  5. Step 5: Solve for x
    x = 32,943,339,009/88,680
  6. Step 6: Final answer
    x = 371,485.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.