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Finding the Third Proportional to 63,190 and 136,500

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Solution

The third proportional to 63,190 and 136,500 is: 294,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,190 : 136,500 = 136,500 : x
  2. Step 2: Convert to fraction form
    63,190/136,500 = 136,500/x
  3. Step 3: Cross multiply
    63,190x = 136,500 × 136,500
  4. Step 4: Simplify right side
    63,190x = 18,632,250,000
  5. Step 5: Solve for x
    x = 18,632,250,000/63,190
  6. Step 6: Final answer
    x = 294,860.74

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