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Finding the Third Proportional to 101,745 and 155,643

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Solution

The third proportional to 101,745 and 155,643 is: 238,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745 : 155,643 = 155,643 : x
  2. Step 2: Convert to fraction form
    101,745/155,643 = 155,643/x
  3. Step 3: Cross multiply
    101,745x = 155,643 × 155,643
  4. Step 4: Simplify right side
    101,745x = 24,224,743,449
  5. Step 5: Solve for x
    x = 24,224,743,449/101,745
  6. Step 6: Final answer
    x = 238,092.72

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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.