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Finding the Third Proportional to 68,136.75 and 103,435.88

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Solution

The third proportional to 68,136.75 and 103,435.88 is: 157,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,136.75 : 103,435.88 = 103,435.88 : x
  2. Step 2: Convert to fraction form
    68,136.75/103,435.88 = 103,435.88/x
  3. Step 3: Cross multiply
    68,136.75x = 103,435.88 × 103,435.88
  4. Step 4: Simplify right side
    68,136.75x = 10,698,980,237.02
  5. Step 5: Solve for x
    x = 10,698,980,237.02/68,136.75
  6. Step 6: Final answer
    x = 157,022.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.