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Finding the Third Proportional to 117,122.63 and 253,928.25

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Solution

The third proportional to 117,122.63 and 253,928.25 is: 550,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,122.63 : 253,928.25 = 253,928.25 : x
  2. Step 2: Convert to fraction form
    117,122.63/253,928.25 = 253,928.25/x
  3. Step 3: Cross multiply
    117,122.63x = 253,928.25 × 253,928.25
  4. Step 4: Simplify right side
    117,122.63x = 64,479,556,148.06
  5. Step 5: Solve for x
    x = 64,479,556,148.06/117,122.63
  6. Step 6: Final answer
    x = 550,530.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.