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Finding the Third Proportional to 96,426.56 and 144,546.19

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Solution

The third proportional to 96,426.56 and 144,546.19 is: 216,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,426.56 : 144,546.19 = 144,546.19 : x
  2. Step 2: Convert to fraction form
    96,426.56/144,546.19 = 144,546.19/x
  3. Step 3: Cross multiply
    96,426.56x = 144,546.19 × 144,546.19
  4. Step 4: Simplify right side
    96,426.56x = 20,893,600,320.79
  5. Step 5: Solve for x
    x = 20,893,600,320.79/96,426.56
  6. Step 6: Final answer
    x = 216,678.89

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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.