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Finding the Third Proportional to 43,765 and 93,758

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Solution

The third proportional to 43,765 and 93,758 is: 200,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,765 : 93,758 = 93,758 : x
  2. Step 2: Convert to fraction form
    43,765/93,758 = 93,758/x
  3. Step 3: Cross multiply
    43,765x = 93,758 × 93,758
  4. Step 4: Simplify right side
    43,765x = 8,790,562,564
  5. Step 5: Solve for x
    x = 8,790,562,564/43,765
  6. Step 6: Final answer
    x = 200,858.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.