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Finding the Third Proportional to 43,123 and 93,841

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Solution

The third proportional to 43,123 and 93,841 is: 204,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,123 : 93,841 = 93,841 : x
  2. Step 2: Convert to fraction form
    43,123/93,841 = 93,841/x
  3. Step 3: Cross multiply
    43,123x = 93,841 × 93,841
  4. Step 4: Simplify right side
    43,123x = 8,806,133,281
  5. Step 5: Solve for x
    x = 8,806,133,281/43,123
  6. Step 6: Final answer
    x = 204,209.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.