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Finding the Third Proportional to 146,052 and 235,142

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Solution

The third proportional to 146,052 and 235,142 is: 378,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,052 : 235,142 = 235,142 : x
  2. Step 2: Convert to fraction form
    146,052/235,142 = 235,142/x
  3. Step 3: Cross multiply
    146,052x = 235,142 × 235,142
  4. Step 4: Simplify right side
    146,052x = 55,291,760,164
  5. Step 5: Solve for x
    x = 55,291,760,164/146,052
  6. Step 6: Final answer
    x = 378,575.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.