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Finding the Third Proportional to 54,270 and 116,328

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Solution

The third proportional to 54,270 and 116,328 is: 249,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270 : 116,328 = 116,328 : x
  2. Step 2: Convert to fraction form
    54,270/116,328 = 116,328/x
  3. Step 3: Cross multiply
    54,270x = 116,328 × 116,328
  4. Step 4: Simplify right side
    54,270x = 13,532,203,584
  5. Step 5: Solve for x
    x = 13,532,203,584/54,270
  6. Step 6: Final answer
    x = 249,349.61

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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.