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Finding the Third Proportional to 62,652.45 and 146,194.10

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Solution

The third proportional to 62,652.45 and 146,194.10 is: 341,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,652.45 : 146,194.10 = 146,194.10 : x
  2. Step 2: Convert to fraction form
    62,652.45/146,194.10 = 146,194.10/x
  3. Step 3: Cross multiply
    62,652.45x = 146,194.10 × 146,194.10
  4. Step 4: Simplify right side
    62,652.45x = 21,372,715,331.67
  5. Step 5: Solve for x
    x = 21,372,715,331.67/62,652.45
  6. Step 6: Final answer
    x = 341,131.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.