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Finding the Third Proportional to 62,049 and 134,593.50

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Solution

The third proportional to 62,049 and 134,593.50 is: 291,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,049 : 134,593.50 = 134,593.50 : x
  2. Step 2: Convert to fraction form
    62,049/134,593.50 = 134,593.50/x
  3. Step 3: Cross multiply
    62,049x = 134,593.50 × 134,593.50
  4. Step 4: Simplify right side
    62,049x = 18,115,410,242.25
  5. Step 5: Solve for x
    x = 18,115,410,242.25/62,049
  6. Step 6: Final answer
    x = 291,953.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.