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Finding the Third Proportional to 74,664 and 161,206

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Solution

The third proportional to 74,664 and 161,206 is: 348,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,664 : 161,206 = 161,206 : x
  2. Step 2: Convert to fraction form
    74,664/161,206 = 161,206/x
  3. Step 3: Cross multiply
    74,664x = 161,206 × 161,206
  4. Step 4: Simplify right side
    74,664x = 25,987,374,436
  5. Step 5: Solve for x
    x = 25,987,374,436/74,664
  6. Step 6: Final answer
    x = 348,057.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.