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Finding the Third Proportional to 113,645.25 and 170,467.88

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Solution

The third proportional to 113,645.25 and 170,467.88 is: 255,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,645.25 : 170,467.88 = 170,467.88 : x
  2. Step 2: Convert to fraction form
    113,645.25/170,467.88 = 170,467.88/x
  3. Step 3: Cross multiply
    113,645.25x = 170,467.88 × 170,467.88
  4. Step 4: Simplify right side
    113,645.25x = 29,059,296,407.02
  5. Step 5: Solve for x
    x = 29,059,296,407.02/113,645.25
  6. Step 6: Final answer
    x = 255,701.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.