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Finding the Third Proportional to 113,040 and 174,756

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Solution

The third proportional to 113,040 and 174,756 is: 270,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,040 : 174,756 = 174,756 : x
  2. Step 2: Convert to fraction form
    113,040/174,756 = 174,756/x
  3. Step 3: Cross multiply
    113,040x = 174,756 × 174,756
  4. Step 4: Simplify right side
    113,040x = 30,539,659,536
  5. Step 5: Solve for x
    x = 30,539,659,536/113,040
  6. Step 6: Final answer
    x = 270,166.84

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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.