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Finding the Third Proportional to 45,764 and 106,913

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Solution

The third proportional to 45,764 and 106,913 is: 249,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,764 : 106,913 = 106,913 : x
  2. Step 2: Convert to fraction form
    45,764/106,913 = 106,913/x
  3. Step 3: Cross multiply
    45,764x = 106,913 × 106,913
  4. Step 4: Simplify right side
    45,764x = 11,430,389,569
  5. Step 5: Solve for x
    x = 11,430,389,569/45,764
  6. Step 6: Final answer
    x = 249,768.15

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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.