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Finding the Third Proportional to 75,107.25 and 174,646.13

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Solution

The third proportional to 75,107.25 and 174,646.13 is: 406,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107.25 : 174,646.13 = 174,646.13 : x
  2. Step 2: Convert to fraction form
    75,107.25/174,646.13 = 174,646.13/x
  3. Step 3: Cross multiply
    75,107.25x = 174,646.13 × 174,646.13
  4. Step 4: Simplify right side
    75,107.25x = 30,501,268,977.52
  5. Step 5: Solve for x
    x = 30,501,268,977.52/75,107.25
  6. Step 6: Final answer
    x = 406,102.86

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.