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Finding the Third Proportional to 78,576.75 and 164,851.88

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Solution

The third proportional to 78,576.75 and 164,851.88 is: 345,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576.75 : 164,851.88 = 164,851.88 : x
  2. Step 2: Convert to fraction form
    78,576.75/164,851.88 = 164,851.88/x
  3. Step 3: Cross multiply
    78,576.75x = 164,851.88 × 164,851.88
  4. Step 4: Simplify right side
    78,576.75x = 27,176,140,691.02
  5. Step 5: Solve for x
    x = 27,176,140,691.02/78,576.75
  6. Step 6: Final answer
    x = 345,854.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.