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Finding the Third Proportional to 46,665 and 72,060.75

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Solution

The third proportional to 46,665 and 72,060.75 is: 111,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,665 : 72,060.75 = 72,060.75 : x
  2. Step 2: Convert to fraction form
    46,665/72,060.75 = 72,060.75/x
  3. Step 3: Cross multiply
    46,665x = 72,060.75 × 72,060.75
  4. Step 4: Simplify right side
    46,665x = 5,192,751,690.56
  5. Step 5: Solve for x
    x = 5,192,751,690.56/46,665
  6. Step 6: Final answer
    x = 111,277.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.