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Finding the Third Proportional to 63,024 and 94,728

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Solution

The third proportional to 63,024 and 94,728 is: 142,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,024 : 94,728 = 94,728 : x
  2. Step 2: Convert to fraction form
    63,024/94,728 = 94,728/x
  3. Step 3: Cross multiply
    63,024x = 94,728 × 94,728
  4. Step 4: Simplify right side
    63,024x = 8,973,393,984
  5. Step 5: Solve for x
    x = 8,973,393,984/63,024
  6. Step 6: Final answer
    x = 142,380.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.