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Finding the Third Proportional to 68,216.50 and 105,240.75

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Solution

The third proportional to 68,216.50 and 105,240.75 is: 162,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216.50 : 105,240.75 = 105,240.75 : x
  2. Step 2: Convert to fraction form
    68,216.50/105,240.75 = 105,240.75/x
  3. Step 3: Cross multiply
    68,216.50x = 105,240.75 × 105,240.75
  4. Step 4: Simplify right side
    68,216.50x = 11,075,615,460.56
  5. Step 5: Solve for x
    x = 11,075,615,460.56/68,216.50
  6. Step 6: Final answer
    x = 162,359.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.