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Finding the Third Proportional to 75,576.66 and 164,968.88

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Solution

The third proportional to 75,576.66 and 164,968.88 is: 360,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576.66 : 164,968.88 = 164,968.88 : x
  2. Step 2: Convert to fraction form
    75,576.66/164,968.88 = 164,968.88/x
  3. Step 3: Cross multiply
    75,576.66x = 164,968.88 × 164,968.88
  4. Step 4: Simplify right side
    75,576.66x = 27,214,729,718.77
  5. Step 5: Solve for x
    x = 27,214,729,718.77/75,576.66
  6. Step 6: Final answer
    x = 360,094.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.