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Finding the Third Proportional to 100,483.75 and 159,950.75

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Solution

The third proportional to 100,483.75 and 159,950.75 is: 254,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,483.75 : 159,950.75 = 159,950.75 : x
  2. Step 2: Convert to fraction form
    100,483.75/159,950.75 = 159,950.75/x
  3. Step 3: Cross multiply
    100,483.75x = 159,950.75 × 159,950.75
  4. Step 4: Simplify right side
    100,483.75x = 25,584,242,425.56
  5. Step 5: Solve for x
    x = 25,584,242,425.56/100,483.75
  6. Step 6: Final answer
    x = 254,610.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.