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Finding the Third Proportional to 54,278 and 81,313

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Solution

The third proportional to 54,278 and 81,313 is: 121,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,278 : 81,313 = 81,313 : x
  2. Step 2: Convert to fraction form
    54,278/81,313 = 81,313/x
  3. Step 3: Cross multiply
    54,278x = 81,313 × 81,313
  4. Step 4: Simplify right side
    54,278x = 6,611,803,969
  5. Step 5: Solve for x
    x = 6,611,803,969/54,278
  6. Step 6: Final answer
    x = 121,813.70

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