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Finding the Third Proportional to 89,057 and 127,569

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Solution

The third proportional to 89,057 and 127,569 is: 182,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,057 : 127,569 = 127,569 : x
  2. Step 2: Convert to fraction form
    89,057/127,569 = 127,569/x
  3. Step 3: Cross multiply
    89,057x = 127,569 × 127,569
  4. Step 4: Simplify right side
    89,057x = 16,273,849,761
  5. Step 5: Solve for x
    x = 16,273,849,761/89,057
  6. Step 6: Final answer
    x = 182,735.21

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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.