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Finding the Third Proportional to 42,773 and 93,930

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Solution

The third proportional to 42,773 and 93,930 is: 206,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,773 : 93,930 = 93,930 : x
  2. Step 2: Convert to fraction form
    42,773/93,930 = 93,930/x
  3. Step 3: Cross multiply
    42,773x = 93,930 × 93,930
  4. Step 4: Simplify right side
    42,773x = 8,822,844,900
  5. Step 5: Solve for x
    x = 8,822,844,900/42,773
  6. Step 6: Final answer
    x = 206,271.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.