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Finding the Third Proportional to 53,754 and 116,728.50

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Solution

The third proportional to 53,754 and 116,728.50 is: 253,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,754 : 116,728.50 = 116,728.50 : x
  2. Step 2: Convert to fraction form
    53,754/116,728.50 = 116,728.50/x
  3. Step 3: Cross multiply
    53,754x = 116,728.50 × 116,728.50
  4. Step 4: Simplify right side
    53,754x = 13,625,542,712.25
  5. Step 5: Solve for x
    x = 13,625,542,712.25/53,754
  6. Step 6: Final answer
    x = 253,479.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.