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Finding the Third Proportional to 73,582.13 and 158,928.38

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Solution

The third proportional to 73,582.13 and 158,928.38 is: 343,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,582.13 : 158,928.38 = 158,928.38 : x
  2. Step 2: Convert to fraction form
    73,582.13/158,928.38 = 158,928.38/x
  3. Step 3: Cross multiply
    73,582.13x = 158,928.38 × 158,928.38
  4. Step 4: Simplify right side
    73,582.13x = 25,258,228,380.14
  5. Step 5: Solve for x
    x = 25,258,228,380.14/73,582.13
  6. Step 6: Final answer
    x = 343,265.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.