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Finding the Third Proportional to 113,573.81 and 175,099.22

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Solution

The third proportional to 113,573.81 and 175,099.22 is: 269,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,573.81 : 175,099.22 = 175,099.22 : x
  2. Step 2: Convert to fraction form
    113,573.81/175,099.22 = 175,099.22/x
  3. Step 3: Cross multiply
    113,573.81x = 175,099.22 × 175,099.22
  4. Step 4: Simplify right side
    113,573.81x = 30,659,736,406.86
  5. Step 5: Solve for x
    x = 30,659,736,406.86/113,573.81
  6. Step 6: Final answer
    x = 269,954.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.