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Finding the Third Proportional to 62,578 and 130,333.50

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Solution

The third proportional to 62,578 and 130,333.50 is: 271,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,578 : 130,333.50 = 130,333.50 : x
  2. Step 2: Convert to fraction form
    62,578/130,333.50 = 130,333.50/x
  3. Step 3: Cross multiply
    62,578x = 130,333.50 × 130,333.50
  4. Step 4: Simplify right side
    62,578x = 16,986,821,222.25
  5. Step 5: Solve for x
    x = 16,986,821,222.25/62,578
  6. Step 6: Final answer
    x = 271,450.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.