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Finding the Third Proportional to 46,459 and 73,832

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Solution

The third proportional to 46,459 and 73,832 is: 117,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459 : 73,832 = 73,832 : x
  2. Step 2: Convert to fraction form
    46,459/73,832 = 73,832/x
  3. Step 3: Cross multiply
    46,459x = 73,832 × 73,832
  4. Step 4: Simplify right side
    46,459x = 5,451,164,224
  5. Step 5: Solve for x
    x = 5,451,164,224/46,459
  6. Step 6: Final answer
    x = 117,332.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.