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Finding the Third Proportional to 55,773.75 and 108,746.25

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Solution

The third proportional to 55,773.75 and 108,746.25 is: 212,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,773.75 : 108,746.25 = 108,746.25 : x
  2. Step 2: Convert to fraction form
    55,773.75/108,746.25 = 108,746.25/x
  3. Step 3: Cross multiply
    55,773.75x = 108,746.25 × 108,746.25
  4. Step 4: Simplify right side
    55,773.75x = 11,825,746,889.06
  5. Step 5: Solve for x
    x = 11,825,746,889.06/55,773.75
  6. Step 6: Final answer
    x = 212,030.69

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.