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Finding the Third Proportional to 98,021.25 and 144,159.75

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Solution

The third proportional to 98,021.25 and 144,159.75 is: 212,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,021.25 : 144,159.75 = 144,159.75 : x
  2. Step 2: Convert to fraction form
    98,021.25/144,159.75 = 144,159.75/x
  3. Step 3: Cross multiply
    98,021.25x = 144,159.75 × 144,159.75
  4. Step 4: Simplify right side
    98,021.25x = 20,782,033,520.06
  5. Step 5: Solve for x
    x = 20,782,033,520.06/98,021.25
  6. Step 6: Final answer
    x = 212,015.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.