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Finding the Third Proportional to 45,929 and 93,799

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Solution

The third proportional to 45,929 and 93,799 is: 191,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,929 : 93,799 = 93,799 : x
  2. Step 2: Convert to fraction form
    45,929/93,799 = 93,799/x
  3. Step 3: Cross multiply
    45,929x = 93,799 × 93,799
  4. Step 4: Simplify right side
    45,929x = 8,798,252,401
  5. Step 5: Solve for x
    x = 8,798,252,401/45,929
  6. Step 6: Final answer
    x = 191,562.03

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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.