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Finding the Third Proportional to 85,512.75 and 128,782.13

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Solution

The third proportional to 85,512.75 and 128,782.13 is: 193,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,512.75 : 128,782.13 = 128,782.13 : x
  2. Step 2: Convert to fraction form
    85,512.75/128,782.13 = 128,782.13/x
  3. Step 3: Cross multiply
    85,512.75x = 128,782.13 × 128,782.13
  4. Step 4: Simplify right side
    85,512.75x = 16,584,835,719.52
  5. Step 5: Solve for x
    x = 16,584,835,719.52/85,512.75
  6. Step 6: Final answer
    x = 193,945.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.