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Finding the Third Proportional to 57,243 and 88,562

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Solution

The third proportional to 57,243 and 88,562 is: 137,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243 : 88,562 = 88,562 : x
  2. Step 2: Convert to fraction form
    57,243/88,562 = 88,562/x
  3. Step 3: Cross multiply
    57,243x = 88,562 × 88,562
  4. Step 4: Simplify right side
    57,243x = 7,843,227,844
  5. Step 5: Solve for x
    x = 7,843,227,844/57,243
  6. Step 6: Final answer
    x = 137,016.37

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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.