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Finding the Third Proportional to 66,908.81 and 96,171.44

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Solution

The third proportional to 66,908.81 and 96,171.44 is: 138,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,908.81 : 96,171.44 = 96,171.44 : x
  2. Step 2: Convert to fraction form
    66,908.81/96,171.44 = 96,171.44/x
  3. Step 3: Cross multiply
    66,908.81x = 96,171.44 × 96,171.44
  4. Step 4: Simplify right side
    66,908.81x = 9,248,945,390.82
  5. Step 5: Solve for x
    x = 9,248,945,390.82/66,908.81
  6. Step 6: Final answer
    x = 138,232.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.