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Finding the Third Proportional to 69,296 and 101,352

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Solution

The third proportional to 69,296 and 101,352 is: 148,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,296 : 101,352 = 101,352 : x
  2. Step 2: Convert to fraction form
    69,296/101,352 = 101,352/x
  3. Step 3: Cross multiply
    69,296x = 101,352 × 101,352
  4. Step 4: Simplify right side
    69,296x = 10,272,227,904
  5. Step 5: Solve for x
    x = 10,272,227,904/69,296
  6. Step 6: Final answer
    x = 148,236.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.