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Finding the Third Proportional to 54,306 and 116,010

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Solution

The third proportional to 54,306 and 116,010 is: 247,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306 : 116,010 = 116,010 : x
  2. Step 2: Convert to fraction form
    54,306/116,010 = 116,010/x
  3. Step 3: Cross multiply
    54,306x = 116,010 × 116,010
  4. Step 4: Simplify right side
    54,306x = 13,458,320,100
  5. Step 5: Solve for x
    x = 13,458,320,100/54,306
  6. Step 6: Final answer
    x = 247,823.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.