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Finding the Third Proportional to 129,057.75 and 277,890.75

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Solution

The third proportional to 129,057.75 and 277,890.75 is: 598,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,057.75 : 277,890.75 = 277,890.75 : x
  2. Step 2: Convert to fraction form
    129,057.75/277,890.75 = 277,890.75/x
  3. Step 3: Cross multiply
    129,057.75x = 277,890.75 × 277,890.75
  4. Step 4: Simplify right side
    129,057.75x = 77,223,268,935.56
  5. Step 5: Solve for x
    x = 77,223,268,935.56/129,057.75
  6. Step 6: Final answer
    x = 598,362.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.