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Finding the Third Proportional to 103,629.38 and 158,451.19

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Solution

The third proportional to 103,629.38 and 158,451.19 is: 242,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629.38 : 158,451.19 = 158,451.19 : x
  2. Step 2: Convert to fraction form
    103,629.38/158,451.19 = 158,451.19/x
  3. Step 3: Cross multiply
    103,629.38x = 158,451.19 × 158,451.19
  4. Step 4: Simplify right side
    103,629.38x = 25,106,778,820.16
  5. Step 5: Solve for x
    x = 25,106,778,820.16/103,629.38
  6. Step 6: Final answer
    x = 242,274.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.