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Finding the Third Proportional to 103,659 and 155,569

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Solution

The third proportional to 103,659 and 155,569 is: 233,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659 : 155,569 = 155,569 : x
  2. Step 2: Convert to fraction form
    103,659/155,569 = 155,569/x
  3. Step 3: Cross multiply
    103,659x = 155,569 × 155,569
  4. Step 4: Simplify right side
    103,659x = 24,201,713,761
  5. Step 5: Solve for x
    x = 24,201,713,761/103,659
  6. Step 6: Final answer
    x = 233,474.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.