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Finding the Third Proportional to 63,456 and 94,444

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Solution

The third proportional to 63,456 and 94,444 is: 140,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,456 : 94,444 = 94,444 : x
  2. Step 2: Convert to fraction form
    63,456/94,444 = 94,444/x
  3. Step 3: Cross multiply
    63,456x = 94,444 × 94,444
  4. Step 4: Simplify right side
    63,456x = 8,919,669,136
  5. Step 5: Solve for x
    x = 8,919,669,136/63,456
  6. Step 6: Final answer
    x = 140,564.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.