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Finding the Third Proportional to 74,976 and 161,952

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Solution

The third proportional to 74,976 and 161,952 is: 349,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,976 : 161,952 = 161,952 : x
  2. Step 2: Convert to fraction form
    74,976/161,952 = 161,952/x
  3. Step 3: Cross multiply
    74,976x = 161,952 × 161,952
  4. Step 4: Simplify right side
    74,976x = 26,228,450,304
  5. Step 5: Solve for x
    x = 26,228,450,304/74,976
  6. Step 6: Final answer
    x = 349,824.61

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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.