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Finding the Third Proportional to 127,518 and 196,763

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Solution

The third proportional to 127,518 and 196,763 is: 303,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,518 : 196,763 = 196,763 : x
  2. Step 2: Convert to fraction form
    127,518/196,763 = 196,763/x
  3. Step 3: Cross multiply
    127,518x = 196,763 × 196,763
  4. Step 4: Simplify right side
    127,518x = 38,715,678,169
  5. Step 5: Solve for x
    x = 38,715,678,169/127,518
  6. Step 6: Final answer
    x = 303,609.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.