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Finding the Third Proportional to 63,676.50 and 136,747.50

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Solution

The third proportional to 63,676.50 and 136,747.50 is: 293,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,676.50 : 136,747.50 = 136,747.50 : x
  2. Step 2: Convert to fraction form
    63,676.50/136,747.50 = 136,747.50/x
  3. Step 3: Cross multiply
    63,676.50x = 136,747.50 × 136,747.50
  4. Step 4: Simplify right side
    63,676.50x = 18,699,878,756.25
  5. Step 5: Solve for x
    x = 18,699,878,756.25/63,676.50
  6. Step 6: Final answer
    x = 293,670.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.