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Finding the Third Proportional to 49,078.13 and 75,485.25

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Solution

The third proportional to 49,078.13 and 75,485.25 is: 116,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.13 : 75,485.25 = 75,485.25 : x
  2. Step 2: Convert to fraction form
    49,078.13/75,485.25 = 75,485.25/x
  3. Step 3: Cross multiply
    49,078.13x = 75,485.25 × 75,485.25
  4. Step 4: Simplify right side
    49,078.13x = 5,698,022,967.56
  5. Step 5: Solve for x
    x = 5,698,022,967.56/49,078.13
  6. Step 6: Final answer
    x = 116,101.07

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