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Finding the Third Proportional to 125,209.50 and 193,797

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Solution

The third proportional to 125,209.50 and 193,797 is: 299,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,209.50 : 193,797 = 193,797 : x
  2. Step 2: Convert to fraction form
    125,209.50/193,797 = 193,797/x
  3. Step 3: Cross multiply
    125,209.50x = 193,797 × 193,797
  4. Step 4: Simplify right side
    125,209.50x = 37,557,277,209
  5. Step 5: Solve for x
    x = 37,557,277,209/125,209.50
  6. Step 6: Final answer
    x = 299,955.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.