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Finding the Third Proportional to 59,150.25 and 128,136.75

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Solution

The third proportional to 59,150.25 and 128,136.75 is: 277,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,150.25 : 128,136.75 = 128,136.75 : x
  2. Step 2: Convert to fraction form
    59,150.25/128,136.75 = 128,136.75/x
  3. Step 3: Cross multiply
    59,150.25x = 128,136.75 × 128,136.75
  4. Step 4: Simplify right side
    59,150.25x = 16,419,026,700.56
  5. Step 5: Solve for x
    x = 16,419,026,700.56/59,150.25
  6. Step 6: Final answer
    x = 277,581.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.