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Finding the Third Proportional to 72,648 and 149,940

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Solution

The third proportional to 72,648 and 149,940 is: 309,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,648 : 149,940 = 149,940 : x
  2. Step 2: Convert to fraction form
    72,648/149,940 = 149,940/x
  3. Step 3: Cross multiply
    72,648x = 149,940 × 149,940
  4. Step 4: Simplify right side
    72,648x = 22,482,003,600
  5. Step 5: Solve for x
    x = 22,482,003,600/72,648
  6. Step 6: Final answer
    x = 309,464.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.