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Finding the Third Proportional to 113,412.38 and 167,532.19

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Solution

The third proportional to 113,412.38 and 167,532.19 is: 247,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,412.38 : 167,532.19 = 167,532.19 : x
  2. Step 2: Convert to fraction form
    113,412.38/167,532.19 = 167,532.19/x
  3. Step 3: Cross multiply
    113,412.38x = 167,532.19 × 167,532.19
  4. Step 4: Simplify right side
    113,412.38x = 28,067,033,848.54
  5. Step 5: Solve for x
    x = 28,067,033,848.54/113,412.38
  6. Step 6: Final answer
    x = 247,477.70

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.