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Finding the Third Proportional to 76,323.94 and 116,467.88

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Solution

The third proportional to 76,323.94 and 116,467.88 is: 177,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,323.94 : 116,467.88 = 116,467.88 : x
  2. Step 2: Convert to fraction form
    76,323.94/116,467.88 = 116,467.88/x
  3. Step 3: Cross multiply
    76,323.94x = 116,467.88 × 116,467.88
  4. Step 4: Simplify right side
    76,323.94x = 13,564,765,907.02
  5. Step 5: Solve for x
    x = 13,564,765,907.02/76,323.94
  6. Step 6: Final answer
    x = 177,726.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.