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Finding the Third Proportional to 69,367 and 99,123

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Solution

The third proportional to 69,367 and 99,123 is: 141,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,367 : 99,123 = 99,123 : x
  2. Step 2: Convert to fraction form
    69,367/99,123 = 99,123/x
  3. Step 3: Cross multiply
    69,367x = 99,123 × 99,123
  4. Step 4: Simplify right side
    69,367x = 9,825,369,129
  5. Step 5: Solve for x
    x = 9,825,369,129/69,367
  6. Step 6: Final answer
    x = 141,643.28

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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.