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Finding the Third Proportional to 115,792 and 173,200

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Solution

The third proportional to 115,792 and 173,200 is: 259,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,792 : 173,200 = 173,200 : x
  2. Step 2: Convert to fraction form
    115,792/173,200 = 173,200/x
  3. Step 3: Cross multiply
    115,792x = 173,200 × 173,200
  4. Step 4: Simplify right side
    115,792x = 29,998,240,000
  5. Step 5: Solve for x
    x = 29,998,240,000/115,792
  6. Step 6: Final answer
    x = 259,070.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.