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Finding the Third Proportional to 94,635 and 138,640.50

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Solution

The third proportional to 94,635 and 138,640.50 is: 203,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,635 : 138,640.50 = 138,640.50 : x
  2. Step 2: Convert to fraction form
    94,635/138,640.50 = 138,640.50/x
  3. Step 3: Cross multiply
    94,635x = 138,640.50 × 138,640.50
  4. Step 4: Simplify right side
    94,635x = 19,221,188,240.25
  5. Step 5: Solve for x
    x = 19,221,188,240.25/94,635
  6. Step 6: Final answer
    x = 203,108.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.