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Finding the Third Proportional to 65,906.25 and 102,136.50

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Solution

The third proportional to 65,906.25 and 102,136.50 is: 158,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.25 : 102,136.50 = 102,136.50 : x
  2. Step 2: Convert to fraction form
    65,906.25/102,136.50 = 102,136.50/x
  3. Step 3: Cross multiply
    65,906.25x = 102,136.50 × 102,136.50
  4. Step 4: Simplify right side
    65,906.25x = 10,431,864,632.25
  5. Step 5: Solve for x
    x = 10,431,864,632.25/65,906.25
  6. Step 6: Final answer
    x = 158,283.39

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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.