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Finding the Third Proportional to 63,500.50 and 135,749

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Solution

The third proportional to 63,500.50 and 135,749 is: 290,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,500.50 : 135,749 = 135,749 : x
  2. Step 2: Convert to fraction form
    63,500.50/135,749 = 135,749/x
  3. Step 3: Cross multiply
    63,500.50x = 135,749 × 135,749
  4. Step 4: Simplify right side
    63,500.50x = 18,427,791,001
  5. Step 5: Solve for x
    x = 18,427,791,001/63,500.50
  6. Step 6: Final answer
    x = 290,199.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.