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Finding the Third Proportional to 60,941.25 and 128,535.75

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Solution

The third proportional to 60,941.25 and 128,535.75 is: 271,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,941.25 : 128,535.75 = 128,535.75 : x
  2. Step 2: Convert to fraction form
    60,941.25/128,535.75 = 128,535.75/x
  3. Step 3: Cross multiply
    60,941.25x = 128,535.75 × 128,535.75
  4. Step 4: Simplify right side
    60,941.25x = 16,521,439,028.06
  5. Step 5: Solve for x
    x = 16,521,439,028.06/60,941.25
  6. Step 6: Final answer
    x = 271,104.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.