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Finding the Third Proportional to 59,771.25 and 130,057.31

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Solution

The third proportional to 59,771.25 and 130,057.31 is: 282,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,771.25 : 130,057.31 = 130,057.31 : x
  2. Step 2: Convert to fraction form
    59,771.25/130,057.31 = 130,057.31/x
  3. Step 3: Cross multiply
    59,771.25x = 130,057.31 × 130,057.31
  4. Step 4: Simplify right side
    59,771.25x = 16,914,904,534.72
  5. Step 5: Solve for x
    x = 16,914,904,534.72/59,771.25
  6. Step 6: Final answer
    x = 282,993.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.