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Finding the Third Proportional to 76,094.44 and 108,160.31

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Solution

The third proportional to 76,094.44 and 108,160.31 is: 153,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,094.44 : 108,160.31 = 108,160.31 : x
  2. Step 2: Convert to fraction form
    76,094.44/108,160.31 = 108,160.31/x
  3. Step 3: Cross multiply
    76,094.44x = 108,160.31 × 108,160.31
  4. Step 4: Simplify right side
    76,094.44x = 11,698,653,200.10
  5. Step 5: Solve for x
    x = 11,698,653,200.10/76,094.44
  6. Step 6: Final answer
    x = 153,738.61

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.