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Finding the Third Proportional to 125,897.63 and 194,943.38

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Solution

The third proportional to 125,897.63 and 194,943.38 is: 301,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,897.63 : 194,943.38 = 194,943.38 : x
  2. Step 2: Convert to fraction form
    125,897.63/194,943.38 = 194,943.38/x
  3. Step 3: Cross multiply
    125,897.63x = 194,943.38 × 194,943.38
  4. Step 4: Simplify right side
    125,897.63x = 38,002,919,456.39
  5. Step 5: Solve for x
    x = 38,002,919,456.39/125,897.63
  6. Step 6: Final answer
    x = 301,855.73

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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.