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Finding the Third Proportional to 62,594.50 and 135,019

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Solution

The third proportional to 62,594.50 and 135,019 is: 291,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,594.50 : 135,019 = 135,019 : x
  2. Step 2: Convert to fraction form
    62,594.50/135,019 = 135,019/x
  3. Step 3: Cross multiply
    62,594.50x = 135,019 × 135,019
  4. Step 4: Simplify right side
    62,594.50x = 18,230,130,361
  5. Step 5: Solve for x
    x = 18,230,130,361/62,594.50
  6. Step 6: Final answer
    x = 291,241.73

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Why These Related Problems?

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