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Finding the Third Proportional to 67,635 and 105,136.50

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Solution

The third proportional to 67,635 and 105,136.50 is: 163,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,635 : 105,136.50 = 105,136.50 : x
  2. Step 2: Convert to fraction form
    67,635/105,136.50 = 105,136.50/x
  3. Step 3: Cross multiply
    67,635x = 105,136.50 × 105,136.50
  4. Step 4: Simplify right side
    67,635x = 11,053,683,632.25
  5. Step 5: Solve for x
    x = 11,053,683,632.25/67,635
  6. Step 6: Final answer
    x = 163,431.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.