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Finding the Third Proportional to 51,862.88 and 105,627.75

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Solution

The third proportional to 51,862.88 and 105,627.75 is: 215,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,862.88 : 105,627.75 = 105,627.75 : x
  2. Step 2: Convert to fraction form
    51,862.88/105,627.75 = 105,627.75/x
  3. Step 3: Cross multiply
    51,862.88x = 105,627.75 × 105,627.75
  4. Step 4: Simplify right side
    51,862.88x = 11,157,221,570.06
  5. Step 5: Solve for x
    x = 11,157,221,570.06/51,862.88
  6. Step 6: Final answer
    x = 215,129.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.