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Finding the Third Proportional to 135,720 and 194,760

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Solution

The third proportional to 135,720 and 194,760 is: 279,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,720 : 194,760 = 194,760 : x
  2. Step 2: Convert to fraction form
    135,720/194,760 = 194,760/x
  3. Step 3: Cross multiply
    135,720x = 194,760 × 194,760
  4. Step 4: Simplify right side
    135,720x = 37,931,457,600
  5. Step 5: Solve for x
    x = 37,931,457,600/135,720
  6. Step 6: Final answer
    x = 279,483.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.