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Finding the Third Proportional to 103,443.75 and 158,176.13

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Solution

The third proportional to 103,443.75 and 158,176.13 is: 241,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,443.75 : 158,176.13 = 158,176.13 : x
  2. Step 2: Convert to fraction form
    103,443.75/158,176.13 = 158,176.13/x
  3. Step 3: Cross multiply
    103,443.75x = 158,176.13 × 158,176.13
  4. Step 4: Simplify right side
    103,443.75x = 25,019,686,520.02
  5. Step 5: Solve for x
    x = 25,019,686,520.02/103,443.75
  6. Step 6: Final answer
    x = 241,867.55

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