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Finding the Third Proportional to 95,433 and 146,749.50

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Solution

The third proportional to 95,433 and 146,749.50 is: 225,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,433 : 146,749.50 = 146,749.50 : x
  2. Step 2: Convert to fraction form
    95,433/146,749.50 = 146,749.50/x
  3. Step 3: Cross multiply
    95,433x = 146,749.50 × 146,749.50
  4. Step 4: Simplify right side
    95,433x = 21,535,415,750.25
  5. Step 5: Solve for x
    x = 21,535,415,750.25/95,433
  6. Step 6: Final answer
    x = 225,660.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.