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Finding the Third Proportional to 135,869.63 and 292,515.75

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Solution

The third proportional to 135,869.63 and 292,515.75 is: 629,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,869.63 : 292,515.75 = 292,515.75 : x
  2. Step 2: Convert to fraction form
    135,869.63/292,515.75 = 292,515.75/x
  3. Step 3: Cross multiply
    135,869.63x = 292,515.75 × 292,515.75
  4. Step 4: Simplify right side
    135,869.63x = 85,565,463,998.06
  5. Step 5: Solve for x
    x = 85,565,463,998.06/135,869.63
  6. Step 6: Final answer
    x = 629,761.54

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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.