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Finding the Third Proportional to 96,528.94 and 146,040.38

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Solution

The third proportional to 96,528.94 and 146,040.38 is: 220,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,528.94 : 146,040.38 = 146,040.38 : x
  2. Step 2: Convert to fraction form
    96,528.94/146,040.38 = 146,040.38/x
  3. Step 3: Cross multiply
    96,528.94x = 146,040.38 × 146,040.38
  4. Step 4: Simplify right side
    96,528.94x = 21,327,791,130.14
  5. Step 5: Solve for x
    x = 21,327,791,130.14/96,528.94
  6. Step 6: Final answer
    x = 220,947.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.