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Finding the Third Proportional to 135,674 and 207,543

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Solution

The third proportional to 135,674 and 207,543 is: 317,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,674 : 207,543 = 207,543 : x
  2. Step 2: Convert to fraction form
    135,674/207,543 = 207,543/x
  3. Step 3: Cross multiply
    135,674x = 207,543 × 207,543
  4. Step 4: Simplify right side
    135,674x = 43,074,096,849
  5. Step 5: Solve for x
    x = 43,074,096,849/135,674
  6. Step 6: Final answer
    x = 317,482.32

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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.