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Finding the Third Proportional to 134,119.13 and 185,933.81

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Solution

The third proportional to 134,119.13 and 185,933.81 is: 257,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,119.13 : 185,933.81 = 185,933.81 : x
  2. Step 2: Convert to fraction form
    134,119.13/185,933.81 = 185,933.81/x
  3. Step 3: Cross multiply
    134,119.13x = 185,933.81 × 185,933.81
  4. Step 4: Simplify right side
    134,119.13x = 34,571,382,630.79
  5. Step 5: Solve for x
    x = 34,571,382,630.79/134,119.13
  6. Step 6: Final answer
    x = 257,766.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.