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Finding the Third Proportional to 71,764 and 102,725

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Solution

The third proportional to 71,764 and 102,725 is: 147,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764 : 102,725 = 102,725 : x
  2. Step 2: Convert to fraction form
    71,764/102,725 = 102,725/x
  3. Step 3: Cross multiply
    71,764x = 102,725 × 102,725
  4. Step 4: Simplify right side
    71,764x = 10,552,425,625
  5. Step 5: Solve for x
    x = 10,552,425,625/71,764
  6. Step 6: Final answer
    x = 147,043.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.