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Finding the Third Proportional to 74,927.25 and 156,739.50

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Solution

The third proportional to 74,927.25 and 156,739.50 is: 327,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,927.25 : 156,739.50 = 156,739.50 : x
  2. Step 2: Convert to fraction form
    74,927.25/156,739.50 = 156,739.50/x
  3. Step 3: Cross multiply
    74,927.25x = 156,739.50 × 156,739.50
  4. Step 4: Simplify right side
    74,927.25x = 24,567,270,860.25
  5. Step 5: Solve for x
    x = 24,567,270,860.25/74,927.25
  6. Step 6: Final answer
    x = 327,881.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.