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Finding the Third Proportional to 69,322 and 99,057

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Solution

The third proportional to 69,322 and 99,057 is: 141,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322 : 99,057 = 99,057 : x
  2. Step 2: Convert to fraction form
    69,322/99,057 = 99,057/x
  3. Step 3: Cross multiply
    69,322x = 99,057 × 99,057
  4. Step 4: Simplify right side
    69,322x = 9,812,289,249
  5. Step 5: Solve for x
    x = 9,812,289,249/69,322
  6. Step 6: Final answer
    x = 141,546.54

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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.