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Finding the Third Proportional to 79,704 and 174,888

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Solution

The third proportional to 79,704 and 174,888 is: 383,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,704 : 174,888 = 174,888 : x
  2. Step 2: Convert to fraction form
    79,704/174,888 = 174,888/x
  3. Step 3: Cross multiply
    79,704x = 174,888 × 174,888
  4. Step 4: Simplify right side
    79,704x = 30,585,812,544
  5. Step 5: Solve for x
    x = 30,585,812,544/79,704
  6. Step 6: Final answer
    x = 383,742.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.