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Finding the Third Proportional to 65,359.41 and 108,017.30

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Solution

The third proportional to 65,359.41 and 108,017.30 is: 178,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,359.41 : 108,017.30 = 108,017.30 : x
  2. Step 2: Convert to fraction form
    65,359.41/108,017.30 = 108,017.30/x
  3. Step 3: Cross multiply
    65,359.41x = 108,017.30 × 108,017.30
  4. Step 4: Simplify right side
    65,359.41x = 11,667,736,424.18
  5. Step 5: Solve for x
    x = 11,667,736,424.18/65,359.41
  6. Step 6: Final answer
    x = 178,516.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.