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Finding the Third Proportional to 108,561.75 and 239,209.75

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Solution

The third proportional to 108,561.75 and 239,209.75 is: 527,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,561.75 : 239,209.75 = 239,209.75 : x
  2. Step 2: Convert to fraction form
    108,561.75/239,209.75 = 239,209.75/x
  3. Step 3: Cross multiply
    108,561.75x = 239,209.75 × 239,209.75
  4. Step 4: Simplify right side
    108,561.75x = 57,221,304,495.06
  5. Step 5: Solve for x
    x = 57,221,304,495.06/108,561.75
  6. Step 6: Final answer
    x = 527,085.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.