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Finding the Third Proportional to 129,603 and 194,404.50

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Solution

The third proportional to 129,603 and 194,404.50 is: 291,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603 : 194,404.50 = 194,404.50 : x
  2. Step 2: Convert to fraction form
    129,603/194,404.50 = 194,404.50/x
  3. Step 3: Cross multiply
    129,603x = 194,404.50 × 194,404.50
  4. Step 4: Simplify right side
    129,603x = 37,793,109,620.25
  5. Step 5: Solve for x
    x = 37,793,109,620.25/129,603
  6. Step 6: Final answer
    x = 291,606.75

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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.