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Finding the Third Proportional to 46,101.75 and 71,201.25

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Solution

The third proportional to 46,101.75 and 71,201.25 is: 109,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,101.75 : 71,201.25 = 71,201.25 : x
  2. Step 2: Convert to fraction form
    46,101.75/71,201.25 = 71,201.25/x
  3. Step 3: Cross multiply
    46,101.75x = 71,201.25 × 71,201.25
  4. Step 4: Simplify right side
    46,101.75x = 5,069,618,001.56
  5. Step 5: Solve for x
    x = 5,069,618,001.56/46,101.75
  6. Step 6: Final answer
    x = 109,965.85

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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.