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Finding the Third Proportional to 76,180.50 and 164,068

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Solution

The third proportional to 76,180.50 and 164,068 is: 353,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180.50 : 164,068 = 164,068 : x
  2. Step 2: Convert to fraction form
    76,180.50/164,068 = 164,068/x
  3. Step 3: Cross multiply
    76,180.50x = 164,068 × 164,068
  4. Step 4: Simplify right side
    76,180.50x = 26,918,308,624
  5. Step 5: Solve for x
    x = 26,918,308,624/76,180.50
  6. Step 6: Final answer
    x = 353,349.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.