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Finding the Third Proportional to 125,104.50 and 194,004

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Solution

The third proportional to 125,104.50 and 194,004 is: 300,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,104.50 : 194,004 = 194,004 : x
  2. Step 2: Convert to fraction form
    125,104.50/194,004 = 194,004/x
  3. Step 3: Cross multiply
    125,104.50x = 194,004 × 194,004
  4. Step 4: Simplify right side
    125,104.50x = 37,637,552,016
  5. Step 5: Solve for x
    x = 37,637,552,016/125,104.50
  6. Step 6: Final answer
    x = 300,848.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.