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Finding the Third Proportional to 73,098 and 151,941.75

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Solution

The third proportional to 73,098 and 151,941.75 is: 315,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,098 : 151,941.75 = 151,941.75 : x
  2. Step 2: Convert to fraction form
    73,098/151,941.75 = 151,941.75/x
  3. Step 3: Cross multiply
    73,098x = 151,941.75 × 151,941.75
  4. Step 4: Simplify right side
    73,098x = 23,086,295,393.06
  5. Step 5: Solve for x
    x = 23,086,295,393.06/73,098
  6. Step 6: Final answer
    x = 315,826.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.