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Finding the Third Proportional to 60,362.75 and 81,980.75

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Solution

The third proportional to 60,362.75 and 81,980.75 is: 111,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,362.75 : 81,980.75 = 81,980.75 : x
  2. Step 2: Convert to fraction form
    60,362.75/81,980.75 = 81,980.75/x
  3. Step 3: Cross multiply
    60,362.75x = 81,980.75 × 81,980.75
  4. Step 4: Simplify right side
    60,362.75x = 6,720,843,370.56
  5. Step 5: Solve for x
    x = 6,720,843,370.56/60,362.75
  6. Step 6: Final answer
    x = 111,340.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.