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Finding the Third Proportional to 106,569 and 159,121

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Solution

The third proportional to 106,569 and 159,121 is: 237,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,569 : 159,121 = 159,121 : x
  2. Step 2: Convert to fraction form
    106,569/159,121 = 159,121/x
  3. Step 3: Cross multiply
    106,569x = 159,121 × 159,121
  4. Step 4: Simplify right side
    106,569x = 25,319,492,641
  5. Step 5: Solve for x
    x = 25,319,492,641/106,569
  6. Step 6: Final answer
    x = 237,587.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.