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Finding the Third Proportional to 49,764 and 78,796

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Solution

The third proportional to 49,764 and 78,796 is: 124,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764 : 78,796 = 78,796 : x
  2. Step 2: Convert to fraction form
    49,764/78,796 = 78,796/x
  3. Step 3: Cross multiply
    49,764x = 78,796 × 78,796
  4. Step 4: Simplify right side
    49,764x = 6,208,809,616
  5. Step 5: Solve for x
    x = 6,208,809,616/49,764
  6. Step 6: Final answer
    x = 124,765.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.