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Finding the Third Proportional to 72,847 and 148,367

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Solution

The third proportional to 72,847 and 148,367 is: 302,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,847 : 148,367 = 148,367 : x
  2. Step 2: Convert to fraction form
    72,847/148,367 = 148,367/x
  3. Step 3: Cross multiply
    72,847x = 148,367 × 148,367
  4. Step 4: Simplify right side
    72,847x = 22,012,766,689
  5. Step 5: Solve for x
    x = 22,012,766,689/72,847
  6. Step 6: Final answer
    x = 302,178.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.