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Finding the Third Proportional to 45,794 and 71,363

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Solution

The third proportional to 45,794 and 71,363 is: 111,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,794 : 71,363 = 71,363 : x
  2. Step 2: Convert to fraction form
    45,794/71,363 = 71,363/x
  3. Step 3: Cross multiply
    45,794x = 71,363 × 71,363
  4. Step 4: Simplify right side
    45,794x = 5,092,677,769
  5. Step 5: Solve for x
    x = 5,092,677,769/45,794
  6. Step 6: Final answer
    x = 111,208.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.