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Finding the Third Proportional to 115,080 and 180,828

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Solution

The third proportional to 115,080 and 180,828 is: 284,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,080 : 180,828 = 180,828 : x
  2. Step 2: Convert to fraction form
    115,080/180,828 = 180,828/x
  3. Step 3: Cross multiply
    115,080x = 180,828 × 180,828
  4. Step 4: Simplify right side
    115,080x = 32,698,765,584
  5. Step 5: Solve for x
    x = 32,698,765,584/115,080
  6. Step 6: Final answer
    x = 284,139.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.