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Finding the Third Proportional to 63,085.50 and 133,279

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Solution

The third proportional to 63,085.50 and 133,279 is: 281,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,085.50 : 133,279 = 133,279 : x
  2. Step 2: Convert to fraction form
    63,085.50/133,279 = 133,279/x
  3. Step 3: Cross multiply
    63,085.50x = 133,279 × 133,279
  4. Step 4: Simplify right side
    63,085.50x = 17,763,291,841
  5. Step 5: Solve for x
    x = 17,763,291,841/63,085.50
  6. Step 6: Final answer
    x = 281,574.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.