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Finding the Third Proportional to 125,590.50 and 196,992

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Solution

The third proportional to 125,590.50 and 196,992 is: 308,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,590.50 : 196,992 = 196,992 : x
  2. Step 2: Convert to fraction form
    125,590.50/196,992 = 196,992/x
  3. Step 3: Cross multiply
    125,590.50x = 196,992 × 196,992
  4. Step 4: Simplify right side
    125,590.50x = 38,805,848,064
  5. Step 5: Solve for x
    x = 38,805,848,064/125,590.50
  6. Step 6: Final answer
    x = 308,987.13

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.