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Finding the Third Proportional to 80,648 and 125,130

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Solution

The third proportional to 80,648 and 125,130 is: 194,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,648 : 125,130 = 125,130 : x
  2. Step 2: Convert to fraction form
    80,648/125,130 = 125,130/x
  3. Step 3: Cross multiply
    80,648x = 125,130 × 125,130
  4. Step 4: Simplify right side
    80,648x = 15,657,516,900
  5. Step 5: Solve for x
    x = 15,657,516,900/80,648
  6. Step 6: Final answer
    x = 194,146.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.