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Finding the Third Proportional to 125,853.75 and 194,433.75

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Solution

The third proportional to 125,853.75 and 194,433.75 is: 300,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,853.75 : 194,433.75 = 194,433.75 : x
  2. Step 2: Convert to fraction form
    125,853.75/194,433.75 = 194,433.75/x
  3. Step 3: Cross multiply
    125,853.75x = 194,433.75 × 194,433.75
  4. Step 4: Simplify right side
    125,853.75x = 37,804,483,139.06
  5. Step 5: Solve for x
    x = 37,804,483,139.06/125,853.75
  6. Step 6: Final answer
    x = 300,384.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.