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Finding the Third Proportional to 45,757 and 106,899

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Solution

The third proportional to 45,757 and 106,899 is: 249,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,757 : 106,899 = 106,899 : x
  2. Step 2: Convert to fraction form
    45,757/106,899 = 106,899/x
  3. Step 3: Cross multiply
    45,757x = 106,899 × 106,899
  4. Step 4: Simplify right side
    45,757x = 11,427,396,201
  5. Step 5: Solve for x
    x = 11,427,396,201/45,757
  6. Step 6: Final answer
    x = 249,740.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.