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Finding the Third Proportional to 53,238 and 82,419.75

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Solution

The third proportional to 53,238 and 82,419.75 is: 127,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,238 : 82,419.75 = 82,419.75 : x
  2. Step 2: Convert to fraction form
    53,238/82,419.75 = 82,419.75/x
  3. Step 3: Cross multiply
    53,238x = 82,419.75 × 82,419.75
  4. Step 4: Simplify right side
    53,238x = 6,793,015,190.06
  5. Step 5: Solve for x
    x = 6,793,015,190.06/53,238
  6. Step 6: Final answer
    x = 127,597.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.