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Finding the Third Proportional to 53,880 and 116,364

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Solution

The third proportional to 53,880 and 116,364 is: 251,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,880 : 116,364 = 116,364 : x
  2. Step 2: Convert to fraction form
    53,880/116,364 = 116,364/x
  3. Step 3: Cross multiply
    53,880x = 116,364 × 116,364
  4. Step 4: Simplify right side
    53,880x = 13,540,580,496
  5. Step 5: Solve for x
    x = 13,540,580,496/53,880
  6. Step 6: Final answer
    x = 251,309.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.