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Finding the Third Proportional to 117,103.22 and 175,334.63

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Solution

The third proportional to 117,103.22 and 175,334.63 is: 262,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,103.22 : 175,334.63 = 175,334.63 : x
  2. Step 2: Convert to fraction form
    117,103.22/175,334.63 = 175,334.63/x
  3. Step 3: Cross multiply
    117,103.22x = 175,334.63 × 175,334.63
  4. Step 4: Simplify right side
    117,103.22x = 30,742,230,723.89
  5. Step 5: Solve for x
    x = 30,742,230,723.89/117,103.22
  6. Step 6: Final answer
    x = 262,522.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.