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Finding the Third Proportional to 76,968.84 and 168,123.09

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Solution

The third proportional to 76,968.84 and 168,123.09 is: 367,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968.84 : 168,123.09 = 168,123.09 : x
  2. Step 2: Convert to fraction form
    76,968.84/168,123.09 = 168,123.09/x
  3. Step 3: Cross multiply
    76,968.84x = 168,123.09 × 168,123.09
  4. Step 4: Simplify right side
    76,968.84x = 28,265,374,652.07
  5. Step 5: Solve for x
    x = 28,265,374,652.07/76,968.84
  6. Step 6: Final answer
    x = 367,231.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.