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Finding the Third Proportional to 103,827.75 and 162,662.25

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Solution

The third proportional to 103,827.75 and 162,662.25 is: 254,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,827.75 : 162,662.25 = 162,662.25 : x
  2. Step 2: Convert to fraction form
    103,827.75/162,662.25 = 162,662.25/x
  3. Step 3: Cross multiply
    103,827.75x = 162,662.25 × 162,662.25
  4. Step 4: Simplify right side
    103,827.75x = 26,459,007,575.06
  5. Step 5: Solve for x
    x = 26,459,007,575.06/103,827.75
  6. Step 6: Final answer
    x = 254,835.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.