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Finding the Third Proportional to 117,200.81 and 175,029.56

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Solution

The third proportional to 117,200.81 and 175,029.56 is: 261,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,200.81 : 175,029.56 = 175,029.56 : x
  2. Step 2: Convert to fraction form
    117,200.81/175,029.56 = 175,029.56/x
  3. Step 3: Cross multiply
    117,200.81x = 175,029.56 × 175,029.56
  4. Step 4: Simplify right side
    117,200.81x = 30,635,347,748.94
  5. Step 5: Solve for x
    x = 30,635,347,748.94/117,200.81
  6. Step 6: Final answer
    x = 261,391.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.