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Finding the Third Proportional to 103,835.25 and 162,672.75

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Solution

The third proportional to 103,835.25 and 162,672.75 is: 254,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,835.25 : 162,672.75 = 162,672.75 : x
  2. Step 2: Convert to fraction form
    103,835.25/162,672.75 = 162,672.75/x
  3. Step 3: Cross multiply
    103,835.25x = 162,672.75 × 162,672.75
  4. Step 4: Simplify right side
    103,835.25x = 26,462,423,592.56
  5. Step 5: Solve for x
    x = 26,462,423,592.56/103,835.25
  6. Step 6: Final answer
    x = 254,850.10

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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.