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Finding the Third Proportional to 73,080 and 111,564

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Solution

The third proportional to 73,080 and 111,564 is: 170,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,080 : 111,564 = 111,564 : x
  2. Step 2: Convert to fraction form
    73,080/111,564 = 111,564/x
  3. Step 3: Cross multiply
    73,080x = 111,564 × 111,564
  4. Step 4: Simplify right side
    73,080x = 12,446,526,096
  5. Step 5: Solve for x
    x = 12,446,526,096/73,080
  6. Step 6: Final answer
    x = 170,313.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.