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Finding the Third Proportional to 43,243 and 93,154

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Solution

The third proportional to 43,243 and 93,154 is: 200,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,243 : 93,154 = 93,154 : x
  2. Step 2: Convert to fraction form
    43,243/93,154 = 93,154/x
  3. Step 3: Cross multiply
    43,243x = 93,154 × 93,154
  4. Step 4: Simplify right side
    43,243x = 8,677,667,716
  5. Step 5: Solve for x
    x = 8,677,667,716/43,243
  6. Step 6: Final answer
    x = 200,672.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.