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Finding the Third Proportional to 129,684.38 and 194,526.56

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Solution

The third proportional to 129,684.38 and 194,526.56 is: 291,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,684.38 : 194,526.56 = 194,526.56 : x
  2. Step 2: Convert to fraction form
    129,684.38/194,526.56 = 194,526.56/x
  3. Step 3: Cross multiply
    129,684.38x = 194,526.56 × 194,526.56
  4. Step 4: Simplify right side
    129,684.38x = 37,840,583,518.07
  5. Step 5: Solve for x
    x = 37,840,583,518.07/129,684.38
  6. Step 6: Final answer
    x = 291,789.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.