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Finding the Third Proportional to 146,014 and 161,374

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Solution

The third proportional to 146,014 and 161,374 is: 178,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,014 : 161,374 = 161,374 : x
  2. Step 2: Convert to fraction form
    146,014/161,374 = 161,374/x
  3. Step 3: Cross multiply
    146,014x = 161,374 × 161,374
  4. Step 4: Simplify right side
    146,014x = 26,041,567,876
  5. Step 5: Solve for x
    x = 26,041,567,876/146,014
  6. Step 6: Final answer
    x = 178,349.80

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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.