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Finding the Third Proportional to 146,001 and 161,361

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Solution

The third proportional to 146,001 and 161,361 is: 178,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,001 : 161,361 = 161,361 : x
  2. Step 2: Convert to fraction form
    146,001/161,361 = 161,361/x
  3. Step 3: Cross multiply
    146,001x = 161,361 × 161,361
  4. Step 4: Simplify right side
    146,001x = 26,037,372,321
  5. Step 5: Solve for x
    x = 26,037,372,321/146,001
  6. Step 6: Final answer
    x = 178,336.95

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.