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Finding the Third Proportional to 61,962 and 94,803

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Solution

The third proportional to 61,962 and 94,803 is: 145,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,962 : 94,803 = 94,803 : x
  2. Step 2: Convert to fraction form
    61,962/94,803 = 94,803/x
  3. Step 3: Cross multiply
    61,962x = 94,803 × 94,803
  4. Step 4: Simplify right side
    61,962x = 8,987,608,809
  5. Step 5: Solve for x
    x = 8,987,608,809/61,962
  6. Step 6: Final answer
    x = 145,050.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.