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Finding the Third Proportional to 125,206 and 193,883

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Solution

The third proportional to 125,206 and 193,883 is: 300,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,206 : 193,883 = 193,883 : x
  2. Step 2: Convert to fraction form
    125,206/193,883 = 193,883/x
  3. Step 3: Cross multiply
    125,206x = 193,883 × 193,883
  4. Step 4: Simplify right side
    125,206x = 37,590,617,689
  5. Step 5: Solve for x
    x = 37,590,617,689/125,206
  6. Step 6: Final answer
    x = 300,230.16

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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.