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Finding the Third Proportional to 125,262 and 193,995

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Solution

The third proportional to 125,262 and 193,995 is: 300,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,262 : 193,995 = 193,995 : x
  2. Step 2: Convert to fraction form
    125,262/193,995 = 193,995/x
  3. Step 3: Cross multiply
    125,262x = 193,995 × 193,995
  4. Step 4: Simplify right side
    125,262x = 37,634,060,025
  5. Step 5: Solve for x
    x = 37,634,060,025/125,262
  6. Step 6: Final answer
    x = 300,442.75

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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.