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Finding the Third Proportional to 101,744 and 155,641

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Solution

The third proportional to 101,744 and 155,641 is: 238,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744 : 155,641 = 155,641 : x
  2. Step 2: Convert to fraction form
    101,744/155,641 = 155,641/x
  3. Step 3: Cross multiply
    101,744x = 155,641 × 155,641
  4. Step 4: Simplify right side
    101,744x = 24,224,120,881
  5. Step 5: Solve for x
    x = 24,224,120,881/101,744
  6. Step 6: Final answer
    x = 238,088.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.