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Finding the Third Proportional to 39,503 and 93,263

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Solution

The third proportional to 39,503 and 93,263 is: 220,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,503 : 93,263 = 93,263 : x
  2. Step 2: Convert to fraction form
    39,503/93,263 = 93,263/x
  3. Step 3: Cross multiply
    39,503x = 93,263 × 93,263
  4. Step 4: Simplify right side
    39,503x = 8,697,987,169
  5. Step 5: Solve for x
    x = 8,697,987,169/39,503
  6. Step 6: Final answer
    x = 220,185.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.