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Finding the Third Proportional to 106,357.50 and 159,860.25

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Solution

The third proportional to 106,357.50 and 159,860.25 is: 240,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357.50 : 159,860.25 = 159,860.25 : x
  2. Step 2: Convert to fraction form
    106,357.50/159,860.25 = 159,860.25/x
  3. Step 3: Cross multiply
    106,357.50x = 159,860.25 × 159,860.25
  4. Step 4: Simplify right side
    106,357.50x = 25,555,299,530.06
  5. Step 5: Solve for x
    x = 25,555,299,530.06/106,357.50
  6. Step 6: Final answer
    x = 240,277.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.