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Finding the Third Proportional to 54,363 and 117,773

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Solution

The third proportional to 54,363 and 117,773 is: 255,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,363 : 117,773 = 117,773 : x
  2. Step 2: Convert to fraction form
    54,363/117,773 = 117,773/x
  3. Step 3: Cross multiply
    54,363x = 117,773 × 117,773
  4. Step 4: Simplify right side
    54,363x = 13,870,479,529
  5. Step 5: Solve for x
    x = 13,870,479,529/54,363
  6. Step 6: Final answer
    x = 255,145.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.