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Finding the Third Proportional to 43,031 and 93,211

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Solution

The third proportional to 43,031 and 93,211 is: 201,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,031 : 93,211 = 93,211 : x
  2. Step 2: Convert to fraction form
    43,031/93,211 = 93,211/x
  3. Step 3: Cross multiply
    43,031x = 93,211 × 93,211
  4. Step 4: Simplify right side
    43,031x = 8,688,290,521
  5. Step 5: Solve for x
    x = 8,688,290,521/43,031
  6. Step 6: Final answer
    x = 201,907.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.