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Finding the Third Proportional to 112,704 and 174,420

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Solution

The third proportional to 112,704 and 174,420 is: 269,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,704 : 174,420 = 174,420 : x
  2. Step 2: Convert to fraction form
    112,704/174,420 = 174,420/x
  3. Step 3: Cross multiply
    112,704x = 174,420 × 174,420
  4. Step 4: Simplify right side
    112,704x = 30,422,336,400
  5. Step 5: Solve for x
    x = 30,422,336,400/112,704
  6. Step 6: Final answer
    x = 269,931.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.