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Finding the Third Proportional to 125,940 and 194,970

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Solution

The third proportional to 125,940 and 194,970 is: 301,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,940 : 194,970 = 194,970 : x
  2. Step 2: Convert to fraction form
    125,940/194,970 = 194,970/x
  3. Step 3: Cross multiply
    125,940x = 194,970 × 194,970
  4. Step 4: Simplify right side
    125,940x = 38,013,300,900
  5. Step 5: Solve for x
    x = 38,013,300,900/125,940
  6. Step 6: Final answer
    x = 301,836.60

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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.