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Finding the Third Proportional to 46,781 and 73,301

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Solution

The third proportional to 46,781 and 73,301 is: 114,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,781 : 73,301 = 73,301 : x
  2. Step 2: Convert to fraction form
    46,781/73,301 = 73,301/x
  3. Step 3: Cross multiply
    46,781x = 73,301 × 73,301
  4. Step 4: Simplify right side
    46,781x = 5,373,036,601
  5. Step 5: Solve for x
    x = 5,373,036,601/46,781
  6. Step 6: Final answer
    x = 114,855.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.