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Finding the Third Proportional to 60,000 and 130,950

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Solution

The third proportional to 60,000 and 130,950 is: 285,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,000 : 130,950 = 130,950 : x
  2. Step 2: Convert to fraction form
    60,000/130,950 = 130,950/x
  3. Step 3: Cross multiply
    60,000x = 130,950 × 130,950
  4. Step 4: Simplify right side
    60,000x = 17,147,902,500
  5. Step 5: Solve for x
    x = 17,147,902,500/60,000
  6. Step 6: Final answer
    x = 285,798.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.