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Finding the Third Proportional to 125,816 and 193,104

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Solution

The third proportional to 125,816 and 193,104 is: 296,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,816 : 193,104 = 193,104 : x
  2. Step 2: Convert to fraction form
    125,816/193,104 = 193,104/x
  3. Step 3: Cross multiply
    125,816x = 193,104 × 193,104
  4. Step 4: Simplify right side
    125,816x = 37,289,154,816
  5. Step 5: Solve for x
    x = 37,289,154,816/125,816
  6. Step 6: Final answer
    x = 296,378.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.