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Finding the Third Proportional to 101,750 and 155,650

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Solution

The third proportional to 101,750 and 155,650 is: 238,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,750 : 155,650 = 155,650 : x
  2. Step 2: Convert to fraction form
    101,750/155,650 = 155,650/x
  3. Step 3: Cross multiply
    101,750x = 155,650 × 155,650
  4. Step 4: Simplify right side
    101,750x = 24,226,922,500
  5. Step 5: Solve for x
    x = 24,226,922,500/101,750
  6. Step 6: Final answer
    x = 238,102.43

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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.