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Finding the Third Proportional to 146,008 and 161,368

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Solution

The third proportional to 146,008 and 161,368 is: 178,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,008 : 161,368 = 161,368 : x
  2. Step 2: Convert to fraction form
    146,008/161,368 = 161,368/x
  3. Step 3: Cross multiply
    146,008x = 161,368 × 161,368
  4. Step 4: Simplify right side
    146,008x = 26,039,631,424
  5. Step 5: Solve for x
    x = 26,039,631,424/146,008
  6. Step 6: Final answer
    x = 178,343.87

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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.