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Finding the Third Proportional to 117,203.63 and 175,033.13

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Solution

The third proportional to 117,203.63 and 175,033.13 is: 261,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,203.63 : 175,033.13 = 175,033.13 : x
  2. Step 2: Convert to fraction form
    117,203.63/175,033.13 = 175,033.13/x
  3. Step 3: Cross multiply
    117,203.63x = 175,033.13 × 175,033.13
  4. Step 4: Simplify right side
    117,203.63x = 30,636,594,847.27
  5. Step 5: Solve for x
    x = 30,636,594,847.27/117,203.63
  6. Step 6: Final answer
    x = 261,396.31

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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.