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Finding the Third Proportional to 35,710.88 and 68,181.75

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Solution

The third proportional to 35,710.88 and 68,181.75 is: 130,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.88 : 68,181.75 = 68,181.75 : x
  2. Step 2: Convert to fraction form
    35,710.88/68,181.75 = 68,181.75/x
  3. Step 3: Cross multiply
    35,710.88x = 68,181.75 × 68,181.75
  4. Step 4: Simplify right side
    35,710.88x = 4,648,751,033.06
  5. Step 5: Solve for x
    x = 4,648,751,033.06/35,710.88
  6. Step 6: Final answer
    x = 130,177.46

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.