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Finding the Third Proportional to 127,878.75 and 269,014.50

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Solution

The third proportional to 127,878.75 and 269,014.50 is: 565,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878.75 : 269,014.50 = 269,014.50 : x
  2. Step 2: Convert to fraction form
    127,878.75/269,014.50 = 269,014.50/x
  3. Step 3: Cross multiply
    127,878.75x = 269,014.50 × 269,014.50
  4. Step 4: Simplify right side
    127,878.75x = 72,368,801,210.25
  5. Step 5: Solve for x
    x = 72,368,801,210.25/127,878.75
  6. Step 6: Final answer
    x = 565,917.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.