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Finding the Third Proportional to 175,039 and 193,084

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Solution

The third proportional to 175,039 and 193,084 is: 212,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,039 : 193,084 = 193,084 : x
  2. Step 2: Convert to fraction form
    175,039/193,084 = 193,084/x
  3. Step 3: Cross multiply
    175,039x = 193,084 × 193,084
  4. Step 4: Simplify right side
    175,039x = 37,281,431,056
  5. Step 5: Solve for x
    x = 37,281,431,056/175,039
  6. Step 6: Final answer
    x = 212,989.28

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.