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Finding the Third Proportional to 117,546.75 and 171,392.25

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Solution

The third proportional to 117,546.75 and 171,392.25 is: 249,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546.75 : 171,392.25 = 171,392.25 : x
  2. Step 2: Convert to fraction form
    117,546.75/171,392.25 = 171,392.25/x
  3. Step 3: Cross multiply
    117,546.75x = 171,392.25 × 171,392.25
  4. Step 4: Simplify right side
    117,546.75x = 29,375,303,360.06
  5. Step 5: Solve for x
    x = 29,375,303,360.06/117,546.75
  6. Step 6: Final answer
    x = 249,903.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.