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Finding the Third Proportional to 106,920.56 and 144,324.56

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Solution

The third proportional to 106,920.56 and 144,324.56 is: 194,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920.56 : 144,324.56 = 144,324.56 : x
  2. Step 2: Convert to fraction form
    106,920.56/144,324.56 = 144,324.56/x
  3. Step 3: Cross multiply
    106,920.56x = 144,324.56 × 144,324.56
  4. Step 4: Simplify right side
    106,920.56x = 20,829,579,340.82
  5. Step 5: Solve for x
    x = 20,829,579,340.82/106,920.56
  6. Step 6: Final answer
    x = 194,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.