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Finding the Third Proportional to 125,970.38 and 192,615.75

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Solution

The third proportional to 125,970.38 and 192,615.75 is: 294,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,970.38 : 192,615.75 = 192,615.75 : x
  2. Step 2: Convert to fraction form
    125,970.38/192,615.75 = 192,615.75/x
  3. Step 3: Cross multiply
    125,970.38x = 192,615.75 × 192,615.75
  4. Step 4: Simplify right side
    125,970.38x = 37,100,827,148.06
  5. Step 5: Solve for x
    x = 37,100,827,148.06/125,970.38
  6. Step 6: Final answer
    x = 294,520.26

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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.