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Finding the Third Proportional to 69,450.75 and 98,344.13

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Solution

The third proportional to 69,450.75 and 98,344.13 is: 139,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,450.75 : 98,344.13 = 98,344.13 : x
  2. Step 2: Convert to fraction form
    69,450.75/98,344.13 = 98,344.13/x
  3. Step 3: Cross multiply
    69,450.75x = 98,344.13 × 98,344.13
  4. Step 4: Simplify right side
    69,450.75x = 9,671,566,922.02
  5. Step 5: Solve for x
    x = 9,671,566,922.02/69,450.75
  6. Step 6: Final answer
    x = 139,257.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.