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Finding the Third Proportional to 46,529 and 101,750

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Solution

The third proportional to 46,529 and 101,750 is: 222,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,529 : 101,750 = 101,750 : x
  2. Step 2: Convert to fraction form
    46,529/101,750 = 101,750/x
  3. Step 3: Cross multiply
    46,529x = 101,750 × 101,750
  4. Step 4: Simplify right side
    46,529x = 10,353,062,500
  5. Step 5: Solve for x
    x = 10,353,062,500/46,529
  6. Step 6: Final answer
    x = 222,507.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.