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Finding the Third Proportional to 73,226 and 109,551

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Solution

The third proportional to 73,226 and 109,551 is: 163,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226 : 109,551 = 109,551 : x
  2. Step 2: Convert to fraction form
    73,226/109,551 = 109,551/x
  3. Step 3: Cross multiply
    73,226x = 109,551 × 109,551
  4. Step 4: Simplify right side
    73,226x = 12,001,421,601
  5. Step 5: Solve for x
    x = 12,001,421,601/73,226
  6. Step 6: Final answer
    x = 163,895.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.