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Finding the Third Proportional to 43,278 and 93,900

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Solution

The third proportional to 43,278 and 93,900 is: 203,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,278 : 93,900 = 93,900 : x
  2. Step 2: Convert to fraction form
    43,278/93,900 = 93,900/x
  3. Step 3: Cross multiply
    43,278x = 93,900 × 93,900
  4. Step 4: Simplify right side
    43,278x = 8,817,210,000
  5. Step 5: Solve for x
    x = 8,817,210,000/43,278
  6. Step 6: Final answer
    x = 203,734.23

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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.