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Finding the Third Proportional to 72,903 and 151,622.75

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Solution

The third proportional to 72,903 and 151,622.75 is: 315,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903 : 151,622.75 = 151,622.75 : x
  2. Step 2: Convert to fraction form
    72,903/151,622.75 = 151,622.75/x
  3. Step 3: Cross multiply
    72,903x = 151,622.75 × 151,622.75
  4. Step 4: Simplify right side
    72,903x = 22,989,458,317.56
  5. Step 5: Solve for x
    x = 22,989,458,317.56/72,903
  6. Step 6: Final answer
    x = 315,343.10

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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.