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Finding the Third Proportional to 92,769 and 134,008.50

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Solution

The third proportional to 92,769 and 134,008.50 is: 193,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,769 : 134,008.50 = 134,008.50 : x
  2. Step 2: Convert to fraction form
    92,769/134,008.50 = 134,008.50/x
  3. Step 3: Cross multiply
    92,769x = 134,008.50 × 134,008.50
  4. Step 4: Simplify right side
    92,769x = 17,958,278,072.25
  5. Step 5: Solve for x
    x = 17,958,278,072.25/92,769
  6. Step 6: Final answer
    x = 193,580.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.