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Finding the Third Proportional to 125,378.72 and 244,477.97

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Solution

The third proportional to 125,378.72 and 244,477.97 is: 476,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,378.72 : 244,477.97 = 244,477.97 : x
  2. Step 2: Convert to fraction form
    125,378.72/244,477.97 = 244,477.97/x
  3. Step 3: Cross multiply
    125,378.72x = 244,477.97 × 244,477.97
  4. Step 4: Simplify right side
    125,378.72x = 59,769,477,204.13
  5. Step 5: Solve for x
    x = 59,769,477,204.13/125,378.72
  6. Step 6: Final answer
    x = 476,711.50

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.