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Finding the Third Proportional to 146,046 and 161,406

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Solution

The third proportional to 146,046 and 161,406 is: 178,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,046 : 161,406 = 161,406 : x
  2. Step 2: Convert to fraction form
    146,046/161,406 = 161,406/x
  3. Step 3: Cross multiply
    146,046x = 161,406 × 161,406
  4. Step 4: Simplify right side
    146,046x = 26,051,896,836
  5. Step 5: Solve for x
    x = 26,051,896,836/146,046
  6. Step 6: Final answer
    x = 178,381.45

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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.