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Finding the Third Proportional to 62,421.19 and 96,544.97

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Solution

The third proportional to 62,421.19 and 96,544.97 is: 149,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,421.19 : 96,544.97 = 96,544.97 : x
  2. Step 2: Convert to fraction form
    62,421.19/96,544.97 = 96,544.97/x
  3. Step 3: Cross multiply
    62,421.19x = 96,544.97 × 96,544.97
  4. Step 4: Simplify right side
    62,421.19x = 9,320,930,990.94
  5. Step 5: Solve for x
    x = 9,320,930,990.94/62,421.19
  6. Step 6: Final answer
    x = 149,323.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.