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Finding the Third Proportional to 125,177 and 192,139.50

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Solution

The third proportional to 125,177 and 192,139.50 is: 294,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,177 : 192,139.50 = 192,139.50 : x
  2. Step 2: Convert to fraction form
    125,177/192,139.50 = 192,139.50/x
  3. Step 3: Cross multiply
    125,177x = 192,139.50 × 192,139.50
  4. Step 4: Simplify right side
    125,177x = 36,917,587,460.25
  5. Step 5: Solve for x
    x = 36,917,587,460.25/125,177
  6. Step 6: Final answer
    x = 294,923.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.