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Finding the Third Proportional to 53,916 and 113,418

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Solution

The third proportional to 53,916 and 113,418 is: 238,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,916 : 113,418 = 113,418 : x
  2. Step 2: Convert to fraction form
    53,916/113,418 = 113,418/x
  3. Step 3: Cross multiply
    53,916x = 113,418 × 113,418
  4. Step 4: Simplify right side
    53,916x = 12,863,642,724
  5. Step 5: Solve for x
    x = 12,863,642,724/53,916
  6. Step 6: Final answer
    x = 238,586.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.