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Finding the Third Proportional to 46,074 and 95,040

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Solution

The third proportional to 46,074 and 95,040 is: 196,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,074 : 95,040 = 95,040 : x
  2. Step 2: Convert to fraction form
    46,074/95,040 = 95,040/x
  3. Step 3: Cross multiply
    46,074x = 95,040 × 95,040
  4. Step 4: Simplify right side
    46,074x = 9,032,601,600
  5. Step 5: Solve for x
    x = 9,032,601,600/46,074
  6. Step 6: Final answer
    x = 196,045.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.