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Finding the Third Proportional to 103,353 and 158,085

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Solution

The third proportional to 103,353 and 158,085 is: 241,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,353 : 158,085 = 158,085 : x
  2. Step 2: Convert to fraction form
    103,353/158,085 = 158,085/x
  3. Step 3: Cross multiply
    103,353x = 158,085 × 158,085
  4. Step 4: Simplify right side
    103,353x = 24,990,867,225
  5. Step 5: Solve for x
    x = 24,990,867,225/103,353
  6. Step 6: Final answer
    x = 241,801.08

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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.