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Finding the Third Proportional to 62,534.53 and 96,723.49

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Solution

The third proportional to 62,534.53 and 96,723.49 is: 149,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,534.53 : 96,723.49 = 96,723.49 : x
  2. Step 2: Convert to fraction form
    62,534.53/96,723.49 = 96,723.49/x
  3. Step 3: Cross multiply
    62,534.53x = 96,723.49 × 96,723.49
  4. Step 4: Simplify right side
    62,534.53x = 9,355,433,940.95
  5. Step 5: Solve for x
    x = 9,355,433,940.95/62,534.53
  6. Step 6: Final answer
    x = 149,604.29

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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.