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Finding the Third Proportional to 125,316 and 196,884

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Solution

The third proportional to 125,316 and 196,884 is: 309,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,316 : 196,884 = 196,884 : x
  2. Step 2: Convert to fraction form
    125,316/196,884 = 196,884/x
  3. Step 3: Cross multiply
    125,316x = 196,884 × 196,884
  4. Step 4: Simplify right side
    125,316x = 38,763,309,456
  5. Step 5: Solve for x
    x = 38,763,309,456/125,316
  6. Step 6: Final answer
    x = 309,324.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.