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Finding the Third Proportional to 55,301.75 and 83,405.75

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Solution

The third proportional to 55,301.75 and 83,405.75 is: 125,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,301.75 : 83,405.75 = 83,405.75 : x
  2. Step 2: Convert to fraction form
    55,301.75/83,405.75 = 83,405.75/x
  3. Step 3: Cross multiply
    55,301.75x = 83,405.75 × 83,405.75
  4. Step 4: Simplify right side
    55,301.75x = 6,956,519,133.06
  5. Step 5: Solve for x
    x = 6,956,519,133.06/55,301.75
  6. Step 6: Final answer
    x = 125,792.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.