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Finding the Third Proportional to 125,164 and 194,102

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Solution

The third proportional to 125,164 and 194,102 is: 301,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,164 : 194,102 = 194,102 : x
  2. Step 2: Convert to fraction form
    125,164/194,102 = 194,102/x
  3. Step 3: Cross multiply
    125,164x = 194,102 × 194,102
  4. Step 4: Simplify right side
    125,164x = 37,675,586,404
  5. Step 5: Solve for x
    x = 37,675,586,404/125,164
  6. Step 6: Final answer
    x = 301,009.77

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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.