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Finding the Third Proportional to 43,280 and 93,938

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Solution

The third proportional to 43,280 and 93,938 is: 203,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,280 : 93,938 = 93,938 : x
  2. Step 2: Convert to fraction form
    43,280/93,938 = 93,938/x
  3. Step 3: Cross multiply
    43,280x = 93,938 × 93,938
  4. Step 4: Simplify right side
    43,280x = 8,824,347,844
  5. Step 5: Solve for x
    x = 8,824,347,844/43,280
  6. Step 6: Final answer
    x = 203,889.74

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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.