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Finding the Third Proportional to 61,428.75 and 126,237

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Solution

The third proportional to 61,428.75 and 126,237 is: 259,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,428.75 : 126,237 = 126,237 : x
  2. Step 2: Convert to fraction form
    61,428.75/126,237 = 126,237/x
  3. Step 3: Cross multiply
    61,428.75x = 126,237 × 126,237
  4. Step 4: Simplify right side
    61,428.75x = 15,935,780,169
  5. Step 5: Solve for x
    x = 15,935,780,169/61,428.75
  6. Step 6: Final answer
    x = 259,418.92

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.