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Finding the Third Proportional to 127,730.25 and 190,896.75

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Solution

The third proportional to 127,730.25 and 190,896.75 is: 285,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,730.25 : 190,896.75 = 190,896.75 : x
  2. Step 2: Convert to fraction form
    127,730.25/190,896.75 = 190,896.75/x
  3. Step 3: Cross multiply
    127,730.25x = 190,896.75 × 190,896.75
  4. Step 4: Simplify right side
    127,730.25x = 36,441,569,160.56
  5. Step 5: Solve for x
    x = 36,441,569,160.56/127,730.25
  6. Step 6: Final answer
    x = 285,301.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.