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Finding the Third Proportional to 63,485 and 84,275

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Solution

The third proportional to 63,485 and 84,275 is: 111,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,485 : 84,275 = 84,275 : x
  2. Step 2: Convert to fraction form
    63,485/84,275 = 84,275/x
  3. Step 3: Cross multiply
    63,485x = 84,275 × 84,275
  4. Step 4: Simplify right side
    63,485x = 7,102,275,625
  5. Step 5: Solve for x
    x = 7,102,275,625/63,485
  6. Step 6: Final answer
    x = 111,873.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.