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Finding the Third Proportional to 125,934 and 196,557

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Solution

The third proportional to 125,934 and 196,557 is: 306,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,934 : 196,557 = 196,557 : x
  2. Step 2: Convert to fraction form
    125,934/196,557 = 196,557/x
  3. Step 3: Cross multiply
    125,934x = 196,557 × 196,557
  4. Step 4: Simplify right side
    125,934x = 38,634,654,249
  5. Step 5: Solve for x
    x = 38,634,654,249/125,934
  6. Step 6: Final answer
    x = 306,784.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.