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Finding the Third Proportional to 74,714.91 and 161,237.25

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Solution

The third proportional to 74,714.91 and 161,237.25 is: 347,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,714.91 : 161,237.25 = 161,237.25 : x
  2. Step 2: Convert to fraction form
    74,714.91/161,237.25 = 161,237.25/x
  3. Step 3: Cross multiply
    74,714.91x = 161,237.25 × 161,237.25
  4. Step 4: Simplify right side
    74,714.91x = 25,997,450,787.56
  5. Step 5: Solve for x
    x = 25,997,450,787.56/74,714.91
  6. Step 6: Final answer
    x = 347,955.34

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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.