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Finding the Third Proportional to 51,328.69 and 105,117.75

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Solution

The third proportional to 51,328.69 and 105,117.75 is: 215,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,328.69 : 105,117.75 = 105,117.75 : x
  2. Step 2: Convert to fraction form
    51,328.69/105,117.75 = 105,117.75/x
  3. Step 3: Cross multiply
    51,328.69x = 105,117.75 × 105,117.75
  4. Step 4: Simplify right side
    51,328.69x = 11,049,741,365.06
  5. Step 5: Solve for x
    x = 11,049,741,365.06/51,328.69
  6. Step 6: Final answer
    x = 215,274.18

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.