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Finding the Third Proportional to 61,241.06 and 129,817.69

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Solution

The third proportional to 61,241.06 and 129,817.69 is: 275,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,241.06 : 129,817.69 = 129,817.69 : x
  2. Step 2: Convert to fraction form
    61,241.06/129,817.69 = 129,817.69/x
  3. Step 3: Cross multiply
    61,241.06x = 129,817.69 × 129,817.69
  4. Step 4: Simplify right side
    61,241.06x = 16,852,631,987.85
  5. Step 5: Solve for x
    x = 16,852,631,987.85/61,241.06
  6. Step 6: Final answer
    x = 275,185.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.