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Finding the Third Proportional to 115,696 and 175,000

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Solution

The third proportional to 115,696 and 175,000 is: 264,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,696 : 175,000 = 175,000 : x
  2. Step 2: Convert to fraction form
    115,696/175,000 = 175,000/x
  3. Step 3: Cross multiply
    115,696x = 175,000 × 175,000
  4. Step 4: Simplify right side
    115,696x = 30,625,000,000
  5. Step 5: Solve for x
    x = 30,625,000,000/115,696
  6. Step 6: Final answer
    x = 264,702.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.