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Finding the Third Proportional to 72,680 and 103,068

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Solution

The third proportional to 72,680 and 103,068 is: 146,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,680 : 103,068 = 103,068 : x
  2. Step 2: Convert to fraction form
    72,680/103,068 = 103,068/x
  3. Step 3: Cross multiply
    72,680x = 103,068 × 103,068
  4. Step 4: Simplify right side
    72,680x = 10,623,012,624
  5. Step 5: Solve for x
    x = 10,623,012,624/72,680
  6. Step 6: Final answer
    x = 146,161.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.