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Finding the Third Proportional to 52,090.13 and 121,716.38

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Solution

The third proportional to 52,090.13 and 121,716.38 is: 284,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.13 : 121,716.38 = 121,716.38 : x
  2. Step 2: Convert to fraction form
    52,090.13/121,716.38 = 121,716.38/x
  3. Step 3: Cross multiply
    52,090.13x = 121,716.38 × 121,716.38
  4. Step 4: Simplify right side
    52,090.13x = 14,814,875,943.14
  5. Step 5: Solve for x
    x = 14,814,875,943.14/52,090.13
  6. Step 6: Final answer
    x = 284,408.53

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.