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Finding the Third Proportional to 45,990 and 93,924

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Solution

The third proportional to 45,990 and 93,924 is: 191,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,990 : 93,924 = 93,924 : x
  2. Step 2: Convert to fraction form
    45,990/93,924 = 93,924/x
  3. Step 3: Cross multiply
    45,990x = 93,924 × 93,924
  4. Step 4: Simplify right side
    45,990x = 8,821,717,776
  5. Step 5: Solve for x
    x = 8,821,717,776/45,990
  6. Step 6: Final answer
    x = 191,818.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.