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Finding the Third Proportional to 74,927.53 and 161,279.86

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Solution

The third proportional to 74,927.53 and 161,279.86 is: 347,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,927.53 : 161,279.86 = 161,279.86 : x
  2. Step 2: Convert to fraction form
    74,927.53/161,279.86 = 161,279.86/x
  3. Step 3: Cross multiply
    74,927.53x = 161,279.86 × 161,279.86
  4. Step 4: Simplify right side
    74,927.53x = 26,011,193,040.02
  5. Step 5: Solve for x
    x = 26,011,193,040.02/74,927.53
  6. Step 6: Final answer
    x = 347,151.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.