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Finding the Third Proportional to 125,288 and 194,124

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Solution

The third proportional to 125,288 and 194,124 is: 300,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,288 : 194,124 = 194,124 : x
  2. Step 2: Convert to fraction form
    125,288/194,124 = 194,124/x
  3. Step 3: Cross multiply
    125,288x = 194,124 × 194,124
  4. Step 4: Simplify right side
    125,288x = 37,684,127,376
  5. Step 5: Solve for x
    x = 37,684,127,376/125,288
  6. Step 6: Final answer
    x = 300,780.02

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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.