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Finding the Third Proportional to 113,914 and 249,766

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Solution

The third proportional to 113,914 and 249,766 is: 547,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,914 : 249,766 = 249,766 : x
  2. Step 2: Convert to fraction form
    113,914/249,766 = 249,766/x
  3. Step 3: Cross multiply
    113,914x = 249,766 × 249,766
  4. Step 4: Simplify right side
    113,914x = 62,383,054,756
  5. Step 5: Solve for x
    x = 62,383,054,756/113,914
  6. Step 6: Final answer
    x = 547,632.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.