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Finding the Third Proportional to 125,555 and 195,947

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Solution

The third proportional to 125,555 and 195,947 is: 305,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,555 : 195,947 = 195,947 : x
  2. Step 2: Convert to fraction form
    125,555/195,947 = 195,947/x
  3. Step 3: Cross multiply
    125,555x = 195,947 × 195,947
  4. Step 4: Simplify right side
    125,555x = 38,395,226,809
  5. Step 5: Solve for x
    x = 38,395,226,809/125,555
  6. Step 6: Final answer
    x = 305,804.04

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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.