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Finding the Third Proportional to 111,291.39 and 172,434.84

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Solution

The third proportional to 111,291.39 and 172,434.84 is: 267,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,291.39 : 172,434.84 = 172,434.84 : x
  2. Step 2: Convert to fraction form
    111,291.39/172,434.84 = 172,434.84/x
  3. Step 3: Cross multiply
    111,291.39x = 172,434.84 × 172,434.84
  4. Step 4: Simplify right side
    111,291.39x = 29,733,774,328.73
  5. Step 5: Solve for x
    x = 29,733,774,328.73/111,291.39
  6. Step 6: Final answer
    x = 267,170.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.