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Finding the Third Proportional to 63,695 and 125,824

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Solution

The third proportional to 63,695 and 125,824 is: 248,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,695 : 125,824 = 125,824 : x
  2. Step 2: Convert to fraction form
    63,695/125,824 = 125,824/x
  3. Step 3: Cross multiply
    63,695x = 125,824 × 125,824
  4. Step 4: Simplify right side
    63,695x = 15,831,678,976
  5. Step 5: Solve for x
    x = 15,831,678,976/63,695
  6. Step 6: Final answer
    x = 248,554.50

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.